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Finding the Third Proportional to 113,190.75 and 261,785.25

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Solution

The third proportional to 113,190.75 and 261,785.25 is: 605,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,190.75 : 261,785.25 = 261,785.25 : x
  2. Step 2: Convert to fraction form
    113,190.75/261,785.25 = 261,785.25/x
  3. Step 3: Cross multiply
    113,190.75x = 261,785.25 × 261,785.25
  4. Step 4: Simplify right side
    113,190.75x = 68,531,517,117.56
  5. Step 5: Solve for x
    x = 68,531,517,117.56/113,190.75
  6. Step 6: Final answer
    x = 605,451.57

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.