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Finding the Third Proportional to 222,624 and 282,080

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Solution

The third proportional to 222,624 and 282,080 is: 357,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,624 : 282,080 = 282,080 : x
  2. Step 2: Convert to fraction form
    222,624/282,080 = 282,080/x
  3. Step 3: Cross multiply
    222,624x = 282,080 × 282,080
  4. Step 4: Simplify right side
    222,624x = 79,569,126,400
  5. Step 5: Solve for x
    x = 79,569,126,400/222,624
  6. Step 6: Final answer
    x = 357,414.86

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.