The general rule is that overcurrent protection needs to be upstream of whatever it is protecting (ie, at the point of supply)
There are two different systems that require overcurrent protection in the scenario you're providing - the feeder conductors (art. 215) and the panelboard (art. 408). The feeder OCPD is the 225A circuit breaker in the switchboard. In my opinion, the panelboard OCPD is the 200A MCB at the panelboard. If there wasn't a MCB, I would then say that the 225A OCPD at the switchboard would be the panelboard OCPD. However, just based on nominal mains ratings of panelboards, I don't think this matters as either nominal mains/bus rating (225A @ 208Y/120V or 250A @ 480Y/277V) may be protected by either a 200A or 225A breaker.
As stated by other posters, the #3/0 feeder conductors need to match the OCPD size unless it's a tap. The point of supply for the feeder is at the switchboard and not at the panelboard so the 200A MCB doesn't provide overcurrent protection for that feeder.