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Finding the Third Proportional to 217.69 and 499.78

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Solution

The third proportional to 217.69 and 499.78 is: 1,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 499.78 = 499.78 : x
  2. Step 2: Convert to fraction form
    217.69/499.78 = 499.78/x
  3. Step 3: Cross multiply
    217.69x = 499.78 × 499.78
  4. Step 4: Simplify right side
    217.69x = 249,781.30
  5. Step 5: Solve for x
    x = 249,781.30/217.69
  6. Step 6: Final answer
    x = 1,147.43

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.