Finding the Third Proportional to 202,032 and 312,816
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Solution
The third proportional to 202,032 and 312,816 is: 484,348.27
Step by Step Solution
- Step 1: Write the proportion equation
202,032 : 312,816 = 312,816 : x - Step 2: Convert to fraction form
202,032/312,816 = 312,816/x - Step 3: Cross multiply
202,032x = 312,816 × 312,816 - Step 4: Simplify right side
202,032x = 97,853,849,856 - Step 5: Solve for x
x = 97,853,849,856/202,032 - Step 6: Final answer
x = 484,348.27
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.