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Finding the Third Proportional to 82.28 and 168.88

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Solution

The third proportional to 82.28 and 168.88 is: 346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.28 : 168.88 = 168.88 : x
  2. Step 2: Convert to fraction form
    82.28/168.88 = 168.88/x
  3. Step 3: Cross multiply
    82.28x = 168.88 × 168.88
  4. Step 4: Simplify right side
    82.28x = 28,518.77
  5. Step 5: Solve for x
    x = 28,518.77/82.28
  6. Step 6: Final answer
    x = 346.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.