Finding the Third Proportional to 200,972 and 272,940
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Solution
The third proportional to 200,972 and 272,940 is: 370,679.71
Step by Step Solution
- Step 1: Write the proportion equation
200,972 : 272,940 = 272,940 : x - Step 2: Convert to fraction form
200,972/272,940 = 272,940/x - Step 3: Cross multiply
200,972x = 272,940 × 272,940 - Step 4: Simplify right side
200,972x = 74,496,243,600 - Step 5: Solve for x
x = 74,496,243,600/200,972 - Step 6: Final answer
x = 370,679.71
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.