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Finding the Third Proportional to 160.88 and 326.81

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Solution

The third proportional to 160.88 and 326.81 is: 663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 326.81 = 326.81 : x
  2. Step 2: Convert to fraction form
    160.88/326.81 = 326.81/x
  3. Step 3: Cross multiply
    160.88x = 326.81 × 326.81
  4. Step 4: Simplify right side
    160.88x = 106,806.41
  5. Step 5: Solve for x
    x = 106,806.41/160.88
  6. Step 6: Final answer
    x = 663.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.