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Finding the Third Proportional to 126,204 and 269,919

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Solution

The third proportional to 126,204 and 269,919 is: 577,289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,204 : 269,919 = 269,919 : x
  2. Step 2: Convert to fraction form
    126,204/269,919 = 269,919/x
  3. Step 3: Cross multiply
    126,204x = 269,919 × 269,919
  4. Step 4: Simplify right side
    126,204x = 72,856,266,561
  5. Step 5: Solve for x
    x = 72,856,266,561/126,204
  6. Step 6: Final answer
    x = 577,289.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.