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Finding the Third Proportional to 113,016.25 and 241,761.75

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Solution

The third proportional to 113,016.25 and 241,761.75 is: 517,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,016.25 : 241,761.75 = 241,761.75 : x
  2. Step 2: Convert to fraction form
    113,016.25/241,761.75 = 241,761.75/x
  3. Step 3: Cross multiply
    113,016.25x = 241,761.75 × 241,761.75
  4. Step 4: Simplify right side
    113,016.25x = 58,448,743,763.06
  5. Step 5: Solve for x
    x = 58,448,743,763.06/113,016.25
  6. Step 6: Final answer
    x = 517,171.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.