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Finding the Third Proportional to 159,652 and 250,446

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Solution

The third proportional to 159,652 and 250,446 is: 392,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,652 : 250,446 = 250,446 : x
  2. Step 2: Convert to fraction form
    159,652/250,446 = 250,446/x
  3. Step 3: Cross multiply
    159,652x = 250,446 × 250,446
  4. Step 4: Simplify right side
    159,652x = 62,723,198,916
  5. Step 5: Solve for x
    x = 62,723,198,916/159,652
  6. Step 6: Final answer
    x = 392,874.50

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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.