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Finding the Third Proportional to 170,958.56 and 395,738.44

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Solution

The third proportional to 170,958.56 and 395,738.44 is: 916,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,958.56 : 395,738.44 = 395,738.44 : x
  2. Step 2: Convert to fraction form
    170,958.56/395,738.44 = 395,738.44/x
  3. Step 3: Cross multiply
    170,958.56x = 395,738.44 × 395,738.44
  4. Step 4: Simplify right side
    170,958.56x = 156,608,910,914.94
  5. Step 5: Solve for x
    x = 156,608,910,914.94/170,958.56
  6. Step 6: Final answer
    x = 916,063.57

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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.