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Finding the Third Proportional to 238,154 and 324,327

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Solution

The third proportional to 238,154 and 324,327 is: 441,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,154 : 324,327 = 324,327 : x
  2. Step 2: Convert to fraction form
    238,154/324,327 = 324,327/x
  3. Step 3: Cross multiply
    238,154x = 324,327 × 324,327
  4. Step 4: Simplify right side
    238,154x = 105,188,002,929
  5. Step 5: Solve for x
    x = 105,188,002,929/238,154
  6. Step 6: Final answer
    x = 441,680.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.