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Finding the Third Proportional to 271.78 and 331.78

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Solution

The third proportional to 271.78 and 331.78 is: 405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.78 : 331.78 = 331.78 : x
  2. Step 2: Convert to fraction form
    271.78/331.78 = 331.78/x
  3. Step 3: Cross multiply
    271.78x = 331.78 × 331.78
  4. Step 4: Simplify right side
    271.78x = 110,078.80
  5. Step 5: Solve for x
    x = 110,078.80/271.78
  6. Step 6: Final answer
    x = 405.03

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.