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Finding the Third Proportional to 80.94 and 174.75

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Solution

The third proportional to 80.94 and 174.75 is: 377.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.94 : 174.75 = 174.75 : x
  2. Step 2: Convert to fraction form
    80.94/174.75 = 174.75/x
  3. Step 3: Cross multiply
    80.94x = 174.75 × 174.75
  4. Step 4: Simplify right side
    80.94x = 30,537.56
  5. Step 5: Solve for x
    x = 30,537.56/80.94
  6. Step 6: Final answer
    x = 377.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.