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Finding the Third Proportional to 89,702 and 211,452

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Solution

The third proportional to 89,702 and 211,452 is: 498,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,702 : 211,452 = 211,452 : x
  2. Step 2: Convert to fraction form
    89,702/211,452 = 211,452/x
  3. Step 3: Cross multiply
    89,702x = 211,452 × 211,452
  4. Step 4: Simplify right side
    89,702x = 44,711,948,304
  5. Step 5: Solve for x
    x = 44,711,948,304/89,702
  6. Step 6: Final answer
    x = 498,449.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.