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Finding the Third Proportional to 123,200.25 and 267,313.75

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Solution

The third proportional to 123,200.25 and 267,313.75 is: 580,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,200.25 : 267,313.75 = 267,313.75 : x
  2. Step 2: Convert to fraction form
    123,200.25/267,313.75 = 267,313.75/x
  3. Step 3: Cross multiply
    123,200.25x = 267,313.75 × 267,313.75
  4. Step 4: Simplify right side
    123,200.25x = 71,456,640,939.06
  5. Step 5: Solve for x
    x = 71,456,640,939.06/123,200.25
  6. Step 6: Final answer
    x = 580,004.03

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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.