The 357 magnum is a much hotter version of the 38 special. The cartridge is longer so that it can't be inserted into 38 special handguns. The bullet diameters for both are .357 inches. The 9mm Luger/Parabellum's diameter is .355 inches; the .380's is .356 inches.
This is a link to a website that is hosted by a retired police officer and discusses the 200 gn bullet.
StoppingPower.net Forums - Western / Winchester .38 special 200 gr RN
At hand gun range with newer gun powders, I don't think the drop of a heavy bullet would be significant enough to require much consideration.
Regards,
Richard