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Finding the Third Proportional to 200,657.25 and 267,634.13

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Solution

The third proportional to 200,657.25 and 267,634.13 is: 356,967.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,657.25 : 267,634.13 = 267,634.13 : x
  2. Step 2: Convert to fraction form
    200,657.25/267,634.13 = 267,634.13/x
  3. Step 3: Cross multiply
    200,657.25x = 267,634.13 × 267,634.13
  4. Step 4: Simplify right side
    200,657.25x = 71,628,024,864.52
  5. Step 5: Solve for x
    x = 71,628,024,864.52/200,657.25
  6. Step 6: Final answer
    x = 356,967.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.