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Finding the Third Proportional to 167,474 and 227,414

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Solution

The third proportional to 167,474 and 227,414 is: 308,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,474 : 227,414 = 227,414 : x
  2. Step 2: Convert to fraction form
    167,474/227,414 = 227,414/x
  3. Step 3: Cross multiply
    167,474x = 227,414 × 227,414
  4. Step 4: Simplify right side
    167,474x = 51,717,127,396
  5. Step 5: Solve for x
    x = 51,717,127,396/167,474
  6. Step 6: Final answer
    x = 308,806.90

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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.