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Finding the Third Proportional to 150,692 and 227,567

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Solution

The third proportional to 150,692 and 227,567 is: 343,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,692 : 227,567 = 227,567 : x
  2. Step 2: Convert to fraction form
    150,692/227,567 = 227,567/x
  3. Step 3: Cross multiply
    150,692x = 227,567 × 227,567
  4. Step 4: Simplify right side
    150,692x = 51,786,739,489
  5. Step 5: Solve for x
    x = 51,786,739,489/150,692
  6. Step 6: Final answer
    x = 343,659.51

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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.