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Finding the Third Proportional to 157,572 and 250,566

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Solution

The third proportional to 157,572 and 250,566 is: 398,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,572 : 250,566 = 250,566 : x
  2. Step 2: Convert to fraction form
    157,572/250,566 = 250,566/x
  3. Step 3: Cross multiply
    157,572x = 250,566 × 250,566
  4. Step 4: Simplify right side
    157,572x = 62,783,320,356
  5. Step 5: Solve for x
    x = 62,783,320,356/157,572
  6. Step 6: Final answer
    x = 398,442.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.