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Finding the Third Proportional to 232,755 and 355,902

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Solution

The third proportional to 232,755 and 355,902 is: 544,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,755 : 355,902 = 355,902 : x
  2. Step 2: Convert to fraction form
    232,755/355,902 = 355,902/x
  3. Step 3: Cross multiply
    232,755x = 355,902 × 355,902
  4. Step 4: Simplify right side
    232,755x = 126,666,233,604
  5. Step 5: Solve for x
    x = 126,666,233,604/232,755
  6. Step 6: Final answer
    x = 544,204.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.