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Finding the Third Proportional to 148.97 and 206.86

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Solution

The third proportional to 148.97 and 206.86 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 206.86 = 206.86 : x
  2. Step 2: Convert to fraction form
    148.97/206.86 = 206.86/x
  3. Step 3: Cross multiply
    148.97x = 206.86 × 206.86
  4. Step 4: Simplify right side
    148.97x = 42,790.80
  5. Step 5: Solve for x
    x = 42,790.80/148.97
  6. Step 6: Final answer
    x = 287.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.