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Finding the Third Proportional to 193.11 and 411.86

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Solution

The third proportional to 193.11 and 411.86 is: 878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.11 : 411.86 = 411.86 : x
  2. Step 2: Convert to fraction form
    193.11/411.86 = 411.86/x
  3. Step 3: Cross multiply
    193.11x = 411.86 × 411.86
  4. Step 4: Simplify right side
    193.11x = 169,624.93
  5. Step 5: Solve for x
    x = 169,624.93/193.11
  6. Step 6: Final answer
    x = 878.37

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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.