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Finding the Third Proportional to 116,002 and 244,452

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Solution

The third proportional to 116,002 and 244,452 is: 515,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,002 : 244,452 = 244,452 : x
  2. Step 2: Convert to fraction form
    116,002/244,452 = 244,452/x
  3. Step 3: Cross multiply
    116,002x = 244,452 × 244,452
  4. Step 4: Simplify right side
    116,002x = 59,756,780,304
  5. Step 5: Solve for x
    x = 59,756,780,304/116,002
  6. Step 6: Final answer
    x = 515,135.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.