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Finding the Third Proportional to 148.97 and 326.77

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Solution

The third proportional to 148.97 and 326.77 is: 716.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 326.77 = 326.77 : x
  2. Step 2: Convert to fraction form
    148.97/326.77 = 326.77/x
  3. Step 3: Cross multiply
    148.97x = 326.77 × 326.77
  4. Step 4: Simplify right side
    148.97x = 106,777.69
  5. Step 5: Solve for x
    x = 106,777.69/148.97
  6. Step 6: Final answer
    x = 716.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.