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Finding the Third Proportional to 123,198.15 and 267,309.49

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Solution

The third proportional to 123,198.15 and 267,309.49 is: 579,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,198.15 : 267,309.49 = 267,309.49 : x
  2. Step 2: Convert to fraction form
    123,198.15/267,309.49 = 267,309.49/x
  3. Step 3: Cross multiply
    123,198.15x = 267,309.49 × 267,309.49
  4. Step 4: Simplify right side
    123,198.15x = 71,454,364,613.54
  5. Step 5: Solve for x
    x = 71,454,364,613.54/123,198.15
  6. Step 6: Final answer
    x = 579,995.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.