Finding the Third Proportional to 242,742 and 516,102
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Solution
The third proportional to 242,742 and 516,102 is: 1,097,301.97
Step by Step Solution
- Step 1: Write the proportion equation
242,742 : 516,102 = 516,102 : x - Step 2: Convert to fraction form
242,742/516,102 = 516,102/x - Step 3: Cross multiply
242,742x = 516,102 × 516,102 - Step 4: Simplify right side
242,742x = 266,361,274,404 - Step 5: Solve for x
x = 266,361,274,404/242,742 - Step 6: Final answer
x = 1,097,301.97
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.