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Finding the Third Proportional to 139.22 and 197.72

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Solution

The third proportional to 139.22 and 197.72 is: 280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.22 : 197.72 = 197.72 : x
  2. Step 2: Convert to fraction form
    139.22/197.72 = 197.72/x
  3. Step 3: Cross multiply
    139.22x = 197.72 × 197.72
  4. Step 4: Simplify right side
    139.22x = 39,092.70
  5. Step 5: Solve for x
    x = 39,092.70/139.22
  6. Step 6: Final answer
    x = 280.80

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.