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Finding the Third Proportional to 218 and 241.75

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Solution

The third proportional to 218 and 241.75 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    218 : 241.75 = 241.75 : x
  2. Step 2: Convert to fraction form
    218/241.75 = 241.75/x
  3. Step 3: Cross multiply
    218x = 241.75 × 241.75
  4. Step 4: Simplify right side
    218x = 58,443.06
  5. Step 5: Solve for x
    x = 58,443.06/218
  6. Step 6: Final answer
    x = 268.09

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.