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Finding the Third Proportional to 131,253.75 and 198,082.13

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Solution

The third proportional to 131,253.75 and 198,082.13 is: 298,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,253.75 : 198,082.13 = 198,082.13 : x
  2. Step 2: Convert to fraction form
    131,253.75/198,082.13 = 198,082.13/x
  3. Step 3: Cross multiply
    131,253.75x = 198,082.13 × 198,082.13
  4. Step 4: Simplify right side
    131,253.75x = 39,236,528,244.52
  5. Step 5: Solve for x
    x = 39,236,528,244.52/131,253.75
  6. Step 6: Final answer
    x = 298,936.44

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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.