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Finding the Third Proportional to 106,704 and 229,599

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Solution

The third proportional to 106,704 and 229,599 is: 494,036.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,704 : 229,599 = 229,599 : x
  2. Step 2: Convert to fraction form
    106,704/229,599 = 229,599/x
  3. Step 3: Cross multiply
    106,704x = 229,599 × 229,599
  4. Step 4: Simplify right side
    106,704x = 52,715,700,801
  5. Step 5: Solve for x
    x = 52,715,700,801/106,704
  6. Step 6: Final answer
    x = 494,036.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.