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Finding the Third Proportional to 132,224 and 198,625

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Solution

The third proportional to 132,224 and 198,625 is: 298,371.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,224 : 198,625 = 198,625 : x
  2. Step 2: Convert to fraction form
    132,224/198,625 = 198,625/x
  3. Step 3: Cross multiply
    132,224x = 198,625 × 198,625
  4. Step 4: Simplify right side
    132,224x = 39,451,890,625
  5. Step 5: Solve for x
    x = 39,451,890,625/132,224
  6. Step 6: Final answer
    x = 298,371.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.