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Finding the Third Proportional to 82.92 and 180.84

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Solution

The third proportional to 82.92 and 180.84 is: 394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.92 : 180.84 = 180.84 : x
  2. Step 2: Convert to fraction form
    82.92/180.84 = 180.84/x
  3. Step 3: Cross multiply
    82.92x = 180.84 × 180.84
  4. Step 4: Simplify right side
    82.92x = 32,704.46
  5. Step 5: Solve for x
    x = 32,704.46/82.92
  6. Step 6: Final answer
    x = 394.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.