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Finding the Third Proportional to 231,124 and 367,742

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Solution

The third proportional to 231,124 and 367,742 is: 585,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,124 : 367,742 = 367,742 : x
  2. Step 2: Convert to fraction form
    231,124/367,742 = 367,742/x
  3. Step 3: Cross multiply
    231,124x = 367,742 × 367,742
  4. Step 4: Simplify right side
    231,124x = 135,234,178,564
  5. Step 5: Solve for x
    x = 135,234,178,564/231,124
  6. Step 6: Final answer
    x = 585,115.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.