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Finding the Third Proportional to 106,329 and 231,234

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Solution

The third proportional to 106,329 and 231,234 is: 502,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,329 : 231,234 = 231,234 : x
  2. Step 2: Convert to fraction form
    106,329/231,234 = 231,234/x
  3. Step 3: Cross multiply
    106,329x = 231,234 × 231,234
  4. Step 4: Simplify right side
    106,329x = 53,469,162,756
  5. Step 5: Solve for x
    x = 53,469,162,756/106,329
  6. Step 6: Final answer
    x = 502,865.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.