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Finding the Third Proportional to 150,608 and 200,788

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Solution

The third proportional to 150,608 and 200,788 is: 267,687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,608 : 200,788 = 200,788 : x
  2. Step 2: Convert to fraction form
    150,608/200,788 = 200,788/x
  3. Step 3: Cross multiply
    150,608x = 200,788 × 200,788
  4. Step 4: Simplify right side
    150,608x = 40,315,820,944
  5. Step 5: Solve for x
    x = 40,315,820,944/150,608
  6. Step 6: Final answer
    x = 267,687.11

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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.