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Finding the Third Proportional to 143.38 and 218.69

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Solution

The third proportional to 143.38 and 218.69 is: 333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.38 : 218.69 = 218.69 : x
  2. Step 2: Convert to fraction form
    143.38/218.69 = 218.69/x
  3. Step 3: Cross multiply
    143.38x = 218.69 × 218.69
  4. Step 4: Simplify right side
    143.38x = 47,824.22
  5. Step 5: Solve for x
    x = 47,824.22/143.38
  6. Step 6: Final answer
    x = 333.56

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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.