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Finding the Third Proportional to 231,638 and 367,085

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Solution

The third proportional to 231,638 and 367,085 is: 581,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,638 : 367,085 = 367,085 : x
  2. Step 2: Convert to fraction form
    231,638/367,085 = 367,085/x
  3. Step 3: Cross multiply
    231,638x = 367,085 × 367,085
  4. Step 4: Simplify right side
    231,638x = 134,751,397,225
  5. Step 5: Solve for x
    x = 134,751,397,225/231,638
  6. Step 6: Final answer
    x = 581,732.69

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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.