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Finding the Third Proportional to 129,605 and 269,551

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Solution

The third proportional to 129,605 and 269,551 is: 560,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,605 : 269,551 = 269,551 : x
  2. Step 2: Convert to fraction form
    129,605/269,551 = 269,551/x
  3. Step 3: Cross multiply
    129,605x = 269,551 × 269,551
  4. Step 4: Simplify right side
    129,605x = 72,657,741,601
  5. Step 5: Solve for x
    x = 72,657,741,601/129,605
  6. Step 6: Final answer
    x = 560,609.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.