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Finding the Third Proportional to 132,314 and 198,499

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Solution

The third proportional to 132,314 and 198,499 is: 297,790.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,314 : 198,499 = 198,499 : x
  2. Step 2: Convert to fraction form
    132,314/198,499 = 198,499/x
  3. Step 3: Cross multiply
    132,314x = 198,499 × 198,499
  4. Step 4: Simplify right side
    132,314x = 39,401,853,001
  5. Step 5: Solve for x
    x = 39,401,853,001/132,314
  6. Step 6: Final answer
    x = 297,790.51

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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.