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Finding the Third Proportional to 150,610 and 200,791

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Solution

The third proportional to 150,610 and 200,791 is: 267,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,610 : 200,791 = 200,791 : x
  2. Step 2: Convert to fraction form
    150,610/200,791 = 200,791/x
  3. Step 3: Cross multiply
    150,610x = 200,791 × 200,791
  4. Step 4: Simplify right side
    150,610x = 40,317,025,681
  5. Step 5: Solve for x
    x = 40,317,025,681/150,610
  6. Step 6: Final answer
    x = 267,691.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.