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Finding the Third Proportional to 151,219.13 and 227,996.44

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Solution

The third proportional to 151,219.13 and 227,996.44 is: 343,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,219.13 : 227,996.44 = 227,996.44 : x
  2. Step 2: Convert to fraction form
    151,219.13/227,996.44 = 227,996.44/x
  3. Step 3: Cross multiply
    151,219.13x = 227,996.44 × 227,996.44
  4. Step 4: Simplify right side
    151,219.13x = 51,982,375,512.69
  5. Step 5: Solve for x
    x = 51,982,375,512.69/151,219.13
  6. Step 6: Final answer
    x = 343,755.30

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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.