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Finding the Third Proportional to 83.29 and 177.27

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Solution

The third proportional to 83.29 and 177.27 is: 377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.29 : 177.27 = 177.27 : x
  2. Step 2: Convert to fraction form
    83.29/177.27 = 177.27/x
  3. Step 3: Cross multiply
    83.29x = 177.27 × 177.27
  4. Step 4: Simplify right side
    83.29x = 31,423.45
  5. Step 5: Solve for x
    x = 31,423.45/83.29
  6. Step 6: Final answer
    x = 377.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.