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Finding the Third Proportional to 159,714 and 250,542

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Solution

The third proportional to 159,714 and 250,542 is: 393,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,714 : 250,542 = 250,542 : x
  2. Step 2: Convert to fraction form
    159,714/250,542 = 250,542/x
  3. Step 3: Cross multiply
    159,714x = 250,542 × 250,542
  4. Step 4: Simplify right side
    159,714x = 62,771,293,764
  5. Step 5: Solve for x
    x = 62,771,293,764/159,714
  6. Step 6: Final answer
    x = 393,023.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.