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Finding the Third Proportional to 217.69 and 523.55

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Solution

The third proportional to 217.69 and 523.55 is: 1,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 523.55 = 523.55 : x
  2. Step 2: Convert to fraction form
    217.69/523.55 = 523.55/x
  3. Step 3: Cross multiply
    217.69x = 523.55 × 523.55
  4. Step 4: Simplify right side
    217.69x = 274,101.33
  5. Step 5: Solve for x
    x = 274,101.33/217.69
  6. Step 6: Final answer
    x = 1,259.15

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.