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Finding the Third Proportional to 151,344 and 227,374

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Solution

The third proportional to 151,344 and 227,374 is: 341,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,344 : 227,374 = 227,374 : x
  2. Step 2: Convert to fraction form
    151,344/227,374 = 227,374/x
  3. Step 3: Cross multiply
    151,344x = 227,374 × 227,374
  4. Step 4: Simplify right side
    151,344x = 51,698,935,876
  5. Step 5: Solve for x
    x = 51,698,935,876/151,344
  6. Step 6: Final answer
    x = 341,598.85

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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.