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Finding the Third Proportional to 80.50 and 168.94

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Solution

The third proportional to 80.50 and 168.94 is: 354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.50 : 168.94 = 168.94 : x
  2. Step 2: Convert to fraction form
    80.50/168.94 = 168.94/x
  3. Step 3: Cross multiply
    80.50x = 168.94 × 168.94
  4. Step 4: Simplify right side
    80.50x = 28,539.88
  5. Step 5: Solve for x
    x = 28,539.88/80.50
  6. Step 6: Final answer
    x = 354.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.