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Finding the Third Proportional to 182.11 and 396.63

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Solution

The third proportional to 182.11 and 396.63 is: 863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.11 : 396.63 = 396.63 : x
  2. Step 2: Convert to fraction form
    182.11/396.63 = 396.63/x
  3. Step 3: Cross multiply
    182.11x = 396.63 × 396.63
  4. Step 4: Simplify right side
    182.11x = 157,317.59
  5. Step 5: Solve for x
    x = 157,317.59/182.11
  6. Step 6: Final answer
    x = 863.86

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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.