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Finding the Third Proportional to 132,447 and 199,218

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Solution

The third proportional to 132,447 and 199,218 is: 299,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,447 : 199,218 = 199,218 : x
  2. Step 2: Convert to fraction form
    132,447/199,218 = 199,218/x
  3. Step 3: Cross multiply
    132,447x = 199,218 × 199,218
  4. Step 4: Simplify right side
    132,447x = 39,687,811,524
  5. Step 5: Solve for x
    x = 39,687,811,524/132,447
  6. Step 6: Final answer
    x = 299,650.51

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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.