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Finding the Third Proportional to 218.88 and 335.31

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Solution

The third proportional to 218.88 and 335.31 is: 513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.88 : 335.31 = 335.31 : x
  2. Step 2: Convert to fraction form
    218.88/335.31 = 335.31/x
  3. Step 3: Cross multiply
    218.88x = 335.31 × 335.31
  4. Step 4: Simplify right side
    218.88x = 112,434.47
  5. Step 5: Solve for x
    x = 112,434.47/218.88
  6. Step 6: Final answer
    x = 513.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.