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Finding the Third Proportional to 111.94 and 245.91

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Solution

The third proportional to 111.94 and 245.91 is: 540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.94 : 245.91 = 245.91 : x
  2. Step 2: Convert to fraction form
    111.94/245.91 = 245.91/x
  3. Step 3: Cross multiply
    111.94x = 245.91 × 245.91
  4. Step 4: Simplify right side
    111.94x = 60,469.88
  5. Step 5: Solve for x
    x = 60,469.88/111.94
  6. Step 6: Final answer
    x = 540.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.