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Finding the Third Proportional to 111,354.75 and 239,942.25

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Solution

The third proportional to 111,354.75 and 239,942.25 is: 517,016.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,354.75 : 239,942.25 = 239,942.25 : x
  2. Step 2: Convert to fraction form
    111,354.75/239,942.25 = 239,942.25/x
  3. Step 3: Cross multiply
    111,354.75x = 239,942.25 × 239,942.25
  4. Step 4: Simplify right side
    111,354.75x = 57,572,283,335.06
  5. Step 5: Solve for x
    x = 57,572,283,335.06/111,354.75
  6. Step 6: Final answer
    x = 517,016.86

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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.