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Finding the Third Proportional to 111.81 and 240.69

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Solution

The third proportional to 111.81 and 240.69 is: 518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.81 : 240.69 = 240.69 : x
  2. Step 2: Convert to fraction form
    111.81/240.69 = 240.69/x
  3. Step 3: Cross multiply
    111.81x = 240.69 × 240.69
  4. Step 4: Simplify right side
    111.81x = 57,930.47
  5. Step 5: Solve for x
    x = 57,930.47/111.81
  6. Step 6: Final answer
    x = 518.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.