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Finding the Third Proportional to 231,650 and 367,103

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Solution

The third proportional to 231,650 and 367,103 is: 581,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,650 : 367,103 = 367,103 : x
  2. Step 2: Convert to fraction form
    231,650/367,103 = 367,103/x
  3. Step 3: Cross multiply
    231,650x = 367,103 × 367,103
  4. Step 4: Simplify right side
    231,650x = 134,764,612,609
  5. Step 5: Solve for x
    x = 134,764,612,609/231,650
  6. Step 6: Final answer
    x = 581,759.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.