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Finding the Third Proportional to 82.97 and 188.44

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Solution

The third proportional to 82.97 and 188.44 is: 427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.97 : 188.44 = 188.44 : x
  2. Step 2: Convert to fraction form
    82.97/188.44 = 188.44/x
  3. Step 3: Cross multiply
    82.97x = 188.44 × 188.44
  4. Step 4: Simplify right side
    82.97x = 35,508.69
  5. Step 5: Solve for x
    x = 35,508.69/82.97
  6. Step 6: Final answer
    x = 427.98

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.