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Finding the Third Proportional to 177,727.50 and 394,821

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Solution

The third proportional to 177,727.50 and 394,821 is: 877,093.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,727.50 : 394,821 = 394,821 : x
  2. Step 2: Convert to fraction form
    177,727.50/394,821 = 394,821/x
  3. Step 3: Cross multiply
    177,727.50x = 394,821 × 394,821
  4. Step 4: Simplify right side
    177,727.50x = 155,883,622,041
  5. Step 5: Solve for x
    x = 155,883,622,041/177,727.50
  6. Step 6: Final answer
    x = 877,093.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.