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Finding the Third Proportional to 157,861 and 240,731

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Solution

The third proportional to 157,861 and 240,731 is: 367,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,861 : 240,731 = 240,731 : x
  2. Step 2: Convert to fraction form
    157,861/240,731 = 240,731/x
  3. Step 3: Cross multiply
    157,861x = 240,731 × 240,731
  4. Step 4: Simplify right side
    157,861x = 57,951,414,361
  5. Step 5: Solve for x
    x = 57,951,414,361/157,861
  6. Step 6: Final answer
    x = 367,104.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.