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Finding the Third Proportional to 218.53 and 466.59

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Solution

The third proportional to 218.53 and 466.59 is: 996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.53 : 466.59 = 466.59 : x
  2. Step 2: Convert to fraction form
    218.53/466.59 = 466.59/x
  3. Step 3: Cross multiply
    218.53x = 466.59 × 466.59
  4. Step 4: Simplify right side
    218.53x = 217,709.73
  5. Step 5: Solve for x
    x = 217,709.73/218.53
  6. Step 6: Final answer
    x = 996.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.