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Finding the Third Proportional to 111.13 and 245.13

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Solution

The third proportional to 111.13 and 245.13 is: 540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.13 : 245.13 = 245.13 : x
  2. Step 2: Convert to fraction form
    111.13/245.13 = 245.13/x
  3. Step 3: Cross multiply
    111.13x = 245.13 × 245.13
  4. Step 4: Simplify right side
    111.13x = 60,086.27
  5. Step 5: Solve for x
    x = 60,086.27/111.13
  6. Step 6: Final answer
    x = 540.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.