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Finding the Third Proportional to 159,446 and 250,147

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Solution

The third proportional to 159,446 and 250,147 is: 392,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,446 : 250,147 = 250,147 : x
  2. Step 2: Convert to fraction form
    159,446/250,147 = 250,147/x
  3. Step 3: Cross multiply
    159,446x = 250,147 × 250,147
  4. Step 4: Simplify right side
    159,446x = 62,573,521,609
  5. Step 5: Solve for x
    x = 62,573,521,609/159,446
  6. Step 6: Final answer
    x = 392,443.35

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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.