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Finding the Third Proportional to 238,204 and 523,068

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Solution

The third proportional to 238,204 and 523,068 is: 1,148,595.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,204 : 523,068 = 523,068 : x
  2. Step 2: Convert to fraction form
    238,204/523,068 = 523,068/x
  3. Step 3: Cross multiply
    238,204x = 523,068 × 523,068
  4. Step 4: Simplify right side
    238,204x = 273,600,132,624
  5. Step 5: Solve for x
    x = 273,600,132,624/238,204
  6. Step 6: Final answer
    x = 1,148,595.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.