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Finding the Third Proportional to 150,687 and 227,559

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Solution

The third proportional to 150,687 and 227,559 is: 343,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,687 : 227,559 = 227,559 : x
  2. Step 2: Convert to fraction form
    150,687/227,559 = 227,559/x
  3. Step 3: Cross multiply
    150,687x = 227,559 × 227,559
  4. Step 4: Simplify right side
    150,687x = 51,783,098,481
  5. Step 5: Solve for x
    x = 51,783,098,481/150,687
  6. Step 6: Final answer
    x = 343,646.75

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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.