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Finding the Third Proportional to 250.50 and 517.25

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Solution

The third proportional to 250.50 and 517.25 is: 1,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.50 : 517.25 = 517.25 : x
  2. Step 2: Convert to fraction form
    250.50/517.25 = 517.25/x
  3. Step 3: Cross multiply
    250.50x = 517.25 × 517.25
  4. Step 4: Simplify right side
    250.50x = 267,547.56
  5. Step 5: Solve for x
    x = 267,547.56/250.50
  6. Step 6: Final answer
    x = 1,068.05

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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.