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Finding the Third Proportional to 111,446 and 239,452

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Solution

The third proportional to 111,446 and 239,452 is: 514,484.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,446 : 239,452 = 239,452 : x
  2. Step 2: Convert to fraction form
    111,446/239,452 = 239,452/x
  3. Step 3: Cross multiply
    111,446x = 239,452 × 239,452
  4. Step 4: Simplify right side
    111,446x = 57,337,260,304
  5. Step 5: Solve for x
    x = 57,337,260,304/111,446
  6. Step 6: Final answer
    x = 514,484.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.