I think, it would have been quite similar to the HM.210. Started with redrawing
the plan view (side view is still unfinished) and noticed, that there are many
similarities, just compare HM.210-side view and HM.250-plan view. Maybe there
would have been an additional window for the second passenger, but I'm not
sure about this, as that seat is across to the direction of flight.
According comments by "jj@cques" (Jean-Jacques Legrand, I believe) in the French-language discussion group https://fr.groups.yahoo.com/neo/groups/pouguide/, the HM.250 was never built as such but the project morphed into the HM.300 built in Argentina during Mignet's brief sojorn to South America.
"The three-seat HM-250, 'extrapolated' from the one-page plan of the HM-290 (1946) or more precisely from the HM-293 (1947), wih the same firewall angled at 74°, the same elastic suspension, the same tail skid, was not built, doubtless because of Henri Mignet's departure for Argentina. The HM-250 quite simple became the three-seat HM-300 'Annette' built in Argentina! Same 5.30 m length, same 7.60 m span for the front wing and 5.40 m for the rear wing, same common chord of 1.60 m!"
The look of the aircraft changed dramatically with the change from pointy nose for an inline engine to the broad smiling "face" of the HM.300 with it's smiling automotive-style grill over a Continental engine and, in typical waggish Mignet fashion, eyes painted on the cowling to emphasize the effect. ;-)
See also http://www.flightglobal.com/pdfarchive/view/1950/1950%20-%200098.html
H.M.210 H.M.250
span forward wing 6,00 m 7.60 m
span rear wing m 5,60 m
length 4.90 m 5,30 m
Taking into account the logically higher weight of the 3-seat H.M. 250, a linear enlargement
seems possible to me. The H.M.350 was a similar design, but with higher aspect ratio wings.
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