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Finding the Third Proportional to 150,887 and 227,868

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Solution

The third proportional to 150,887 and 227,868 is: 344,123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,887 : 227,868 = 227,868 : x
  2. Step 2: Convert to fraction form
    150,887/227,868 = 227,868/x
  3. Step 3: Cross multiply
    150,887x = 227,868 × 227,868
  4. Step 4: Simplify right side
    150,887x = 51,923,825,424
  5. Step 5: Solve for x
    x = 51,923,825,424/150,887
  6. Step 6: Final answer
    x = 344,123.92

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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.