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Finding the Third Proportional to 83.06 and 180.94

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Solution

The third proportional to 83.06 and 180.94 is: 394.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.06 : 180.94 = 180.94 : x
  2. Step 2: Convert to fraction form
    83.06/180.94 = 180.94/x
  3. Step 3: Cross multiply
    83.06x = 180.94 × 180.94
  4. Step 4: Simplify right side
    83.06x = 32,738.38
  5. Step 5: Solve for x
    x = 32,738.38/83.06
  6. Step 6: Final answer
    x = 394.14

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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.