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I agree with your definition of "service ceiling." I do believe though (however not 100% certain because I do not operate a P337) that the P337's (pressurized models) have a maximum "certified" ceiling of 20,000 feet. It would be a limitation imposed by Cessna and enforced by the FAA. This number would be lower than the "service ceiling" or "absolute ceiling." The certified ceiling and service or absolute ceilings have nothing to do with each other, I think....
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