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Finding the Third Proportional to 208.44 and 331.97

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Solution

The third proportional to 208.44 and 331.97 is: 528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.44 : 331.97 = 331.97 : x
  2. Step 2: Convert to fraction form
    208.44/331.97 = 331.97/x
  3. Step 3: Cross multiply
    208.44x = 331.97 × 331.97
  4. Step 4: Simplify right side
    208.44x = 110,203.25
  5. Step 5: Solve for x
    x = 110,203.25/208.44
  6. Step 6: Final answer
    x = 528.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.