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Finding the Third Proportional to 131,662 and 288,325

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Solution

The third proportional to 131,662 and 288,325 is: 631,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,662 : 288,325 = 288,325 : x
  2. Step 2: Convert to fraction form
    131,662/288,325 = 288,325/x
  3. Step 3: Cross multiply
    131,662x = 288,325 × 288,325
  4. Step 4: Simplify right side
    131,662x = 83,131,305,625
  5. Step 5: Solve for x
    x = 83,131,305,625/131,662
  6. Step 6: Final answer
    x = 631,399.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.