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Finding the Third Proportional to 150,704 and 227,996

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Solution

The third proportional to 150,704 and 227,996 is: 344,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,704 : 227,996 = 227,996 : x
  2. Step 2: Convert to fraction form
    150,704/227,996 = 227,996/x
  3. Step 3: Cross multiply
    150,704x = 227,996 × 227,996
  4. Step 4: Simplify right side
    150,704x = 51,982,176,016
  5. Step 5: Solve for x
    x = 51,982,176,016/150,704
  6. Step 6: Final answer
    x = 344,928.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.