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Finding the Third Proportional to 227,204 and 336,419

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Solution

The third proportional to 227,204 and 336,419 is: 498,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,204 : 336,419 = 336,419 : x
  2. Step 2: Convert to fraction form
    227,204/336,419 = 336,419/x
  3. Step 3: Cross multiply
    227,204x = 336,419 × 336,419
  4. Step 4: Simplify right side
    227,204x = 113,177,743,561
  5. Step 5: Solve for x
    x = 113,177,743,561/227,204
  6. Step 6: Final answer
    x = 498,132.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.