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Finding the Third Proportional to 185.11 and 263.11

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Solution

The third proportional to 185.11 and 263.11 is: 373.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.11 : 263.11 = 263.11 : x
  2. Step 2: Convert to fraction form
    185.11/263.11 = 263.11/x
  3. Step 3: Cross multiply
    185.11x = 263.11 × 263.11
  4. Step 4: Simplify right side
    185.11x = 69,226.54
  5. Step 5: Solve for x
    x = 69,226.54/185.11
  6. Step 6: Final answer
    x = 373.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.