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Finding the Third Proportional to 218.53 and 335.39

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Solution

The third proportional to 218.53 and 335.39 is: 514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.53 : 335.39 = 335.39 : x
  2. Step 2: Convert to fraction form
    218.53/335.39 = 335.39/x
  3. Step 3: Cross multiply
    218.53x = 335.39 × 335.39
  4. Step 4: Simplify right side
    218.53x = 112,486.87
  5. Step 5: Solve for x
    x = 112,486.87/218.53
  6. Step 6: Final answer
    x = 514.74

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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.