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Finding the Third Proportional to 154,327 and 231,901

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Solution

The third proportional to 154,327 and 231,901 is: 348,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,327 : 231,901 = 231,901 : x
  2. Step 2: Convert to fraction form
    154,327/231,901 = 231,901/x
  3. Step 3: Cross multiply
    154,327x = 231,901 × 231,901
  4. Step 4: Simplify right side
    154,327x = 53,778,073,801
  5. Step 5: Solve for x
    x = 53,778,073,801/154,327
  6. Step 6: Final answer
    x = 348,468.34

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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.