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Finding the Third Proportional to 82.13 and 186.75

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Solution

The third proportional to 82.13 and 186.75 is: 424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.13 : 186.75 = 186.75 : x
  2. Step 2: Convert to fraction form
    82.13/186.75 = 186.75/x
  3. Step 3: Cross multiply
    82.13x = 186.75 × 186.75
  4. Step 4: Simplify right side
    82.13x = 34,875.56
  5. Step 5: Solve for x
    x = 34,875.56/82.13
  6. Step 6: Final answer
    x = 424.66

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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.