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Finding the Third Proportional to 80.13 and 193.94

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Solution

The third proportional to 80.13 and 193.94 is: 469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.13 : 193.94 = 193.94 : x
  2. Step 2: Convert to fraction form
    80.13/193.94 = 193.94/x
  3. Step 3: Cross multiply
    80.13x = 193.94 × 193.94
  4. Step 4: Simplify right side
    80.13x = 37,611.75
  5. Step 5: Solve for x
    x = 37,611.75/80.13
  6. Step 6: Final answer
    x = 469.41

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.