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Finding the Third Proportional to 150,882.75 and 227,862

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Solution

The third proportional to 150,882.75 and 227,862 is: 344,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,882.75 : 227,862 = 227,862 : x
  2. Step 2: Convert to fraction form
    150,882.75/227,862 = 227,862/x
  3. Step 3: Cross multiply
    150,882.75x = 227,862 × 227,862
  4. Step 4: Simplify right side
    150,882.75x = 51,921,091,044
  5. Step 5: Solve for x
    x = 51,921,091,044/150,882.75
  6. Step 6: Final answer
    x = 344,115.49

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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.