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Finding the Third Proportional to 126,859.50 and 294,975

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Solution

The third proportional to 126,859.50 and 294,975 is: 685,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,859.50 : 294,975 = 294,975 : x
  2. Step 2: Convert to fraction form
    126,859.50/294,975 = 294,975/x
  3. Step 3: Cross multiply
    126,859.50x = 294,975 × 294,975
  4. Step 4: Simplify right side
    126,859.50x = 87,010,250,625
  5. Step 5: Solve for x
    x = 87,010,250,625/126,859.50
  6. Step 6: Final answer
    x = 685,878.87

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.