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Finding the Third Proportional to 250.59 and 517.22

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Solution

The third proportional to 250.59 and 517.22 is: 1,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.59 : 517.22 = 517.22 : x
  2. Step 2: Convert to fraction form
    250.59/517.22 = 517.22/x
  3. Step 3: Cross multiply
    250.59x = 517.22 × 517.22
  4. Step 4: Simplify right side
    250.59x = 267,515.24
  5. Step 5: Solve for x
    x = 267,515.24/250.59
  6. Step 6: Final answer
    x = 1,067.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.