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Finding the Third Proportional to 231,972 and 339,766

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Solution

The third proportional to 231,972 and 339,766 is: 497,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,972 : 339,766 = 339,766 : x
  2. Step 2: Convert to fraction form
    231,972/339,766 = 339,766/x
  3. Step 3: Cross multiply
    231,972x = 339,766 × 339,766
  4. Step 4: Simplify right side
    231,972x = 115,440,934,756
  5. Step 5: Solve for x
    x = 115,440,934,756/231,972
  6. Step 6: Final answer
    x = 497,650.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.