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Finding the Third Proportional to 132,269 and 199,635

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Solution

The third proportional to 132,269 and 199,635 is: 301,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,269 : 199,635 = 199,635 : x
  2. Step 2: Convert to fraction form
    132,269/199,635 = 199,635/x
  3. Step 3: Cross multiply
    132,269x = 199,635 × 199,635
  4. Step 4: Simplify right side
    132,269x = 39,854,133,225
  5. Step 5: Solve for x
    x = 39,854,133,225/132,269
  6. Step 6: Final answer
    x = 301,311.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.