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Finding the Third Proportional to 217.69 and 550.55

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Solution

The third proportional to 217.69 and 550.55 is: 1,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.69 : 550.55 = 550.55 : x
  2. Step 2: Convert to fraction form
    217.69/550.55 = 550.55/x
  3. Step 3: Cross multiply
    217.69x = 550.55 × 550.55
  4. Step 4: Simplify right side
    217.69x = 303,101.86
  5. Step 5: Solve for x
    x = 303,101.86/217.69
  6. Step 6: Final answer
    x = 1,392.37

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.