Finding the Third Proportional to 200,032 and 472,192
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Solution
The third proportional to 200,032 and 472,192 is: 1,114,648.08
Step by Step Solution
- Step 1: Write the proportion equation
200,032 : 472,192 = 472,192 : x - Step 2: Convert to fraction form
200,032/472,192 = 472,192/x - Step 3: Cross multiply
200,032x = 472,192 × 472,192 - Step 4: Simplify right side
200,032x = 222,965,284,864 - Step 5: Solve for x
x = 222,965,284,864/200,032 - Step 6: Final answer
x = 1,114,648.08
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.