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Finding the Third Proportional to 217.20 and 335.99

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Solution

The third proportional to 217.20 and 335.99 is: 519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.20 : 335.99 = 335.99 : x
  2. Step 2: Convert to fraction form
    217.20/335.99 = 335.99/x
  3. Step 3: Cross multiply
    217.20x = 335.99 × 335.99
  4. Step 4: Simplify right side
    217.20x = 112,888.13
  5. Step 5: Solve for x
    x = 112,888.13/217.20
  6. Step 6: Final answer
    x = 519.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.