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Finding the Third Proportional to 154,324 and 231,849

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Solution

The third proportional to 154,324 and 231,849 is: 348,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,324 : 231,849 = 231,849 : x
  2. Step 2: Convert to fraction form
    154,324/231,849 = 231,849/x
  3. Step 3: Cross multiply
    154,324x = 231,849 × 231,849
  4. Step 4: Simplify right side
    154,324x = 53,753,958,801
  5. Step 5: Solve for x
    x = 53,753,958,801/154,324
  6. Step 6: Final answer
    x = 348,318.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.