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Finding the Third Proportional to 111,081.38 and 241,116.75

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Solution

The third proportional to 111,081.38 and 241,116.75 is: 523,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,081.38 : 241,116.75 = 241,116.75 : x
  2. Step 2: Convert to fraction form
    111,081.38/241,116.75 = 241,116.75/x
  3. Step 3: Cross multiply
    111,081.38x = 241,116.75 × 241,116.75
  4. Step 4: Simplify right side
    111,081.38x = 58,137,287,130.56
  5. Step 5: Solve for x
    x = 58,137,287,130.56/111,081.38
  6. Step 6: Final answer
    x = 523,375.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.