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Finding the Third Proportional to 149,758.75 and 325,761.25

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Solution

The third proportional to 149,758.75 and 325,761.25 is: 708,608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,758.75 : 325,761.25 = 325,761.25 : x
  2. Step 2: Convert to fraction form
    149,758.75/325,761.25 = 325,761.25/x
  3. Step 3: Cross multiply
    149,758.75x = 325,761.25 × 325,761.25
  4. Step 4: Simplify right side
    149,758.75x = 106,120,392,001.56
  5. Step 5: Solve for x
    x = 106,120,392,001.56/149,758.75
  6. Step 6: Final answer
    x = 708,608.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.