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Finding the Third Proportional to 205.75 and 234

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Solution

The third proportional to 205.75 and 234 is: 266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 234 = 234 : x
  2. Step 2: Convert to fraction form
    205.75/234 = 234/x
  3. Step 3: Cross multiply
    205.75x = 234 × 234
  4. Step 4: Simplify right side
    205.75x = 54,756
  5. Step 5: Solve for x
    x = 54,756/205.75
  6. Step 6: Final answer
    x = 266.13

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.