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Finding the Third Proportional to 123,940.13 and 267,558.19

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Solution

The third proportional to 123,940.13 and 267,558.19 is: 577,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,940.13 : 267,558.19 = 267,558.19 : x
  2. Step 2: Convert to fraction form
    123,940.13/267,558.19 = 267,558.19/x
  3. Step 3: Cross multiply
    123,940.13x = 267,558.19 × 267,558.19
  4. Step 4: Simplify right side
    123,940.13x = 71,587,383,698.29
  5. Step 5: Solve for x
    x = 71,587,383,698.29/123,940.13
  6. Step 6: Final answer
    x = 577,596.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.