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Finding the Third Proportional to 187,940.25 and 394,333.31

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Solution

The third proportional to 187,940.25 and 394,333.31 is: 827,384.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,940.25 : 394,333.31 = 394,333.31 : x
  2. Step 2: Convert to fraction form
    187,940.25/394,333.31 = 394,333.31/x
  3. Step 3: Cross multiply
    187,940.25x = 394,333.31 × 394,333.31
  4. Step 4: Simplify right side
    187,940.25x = 155,498,761,347.22
  5. Step 5: Solve for x
    x = 155,498,761,347.22/187,940.25
  6. Step 6: Final answer
    x = 827,384.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.