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Finding the Third Proportional to 132,262.24 and 198,692.37

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Solution

The third proportional to 132,262.24 and 198,692.37 is: 298,487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,262.24 : 198,692.37 = 198,692.37 : x
  2. Step 2: Convert to fraction form
    132,262.24/198,692.37 = 198,692.37/x
  3. Step 3: Cross multiply
    132,262.24x = 198,692.37 × 198,692.37
  4. Step 4: Simplify right side
    132,262.24x = 39,478,656,778.57
  5. Step 5: Solve for x
    x = 39,478,656,778.57/132,262.24
  6. Step 6: Final answer
    x = 298,487.73

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Why These Related Problems?

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