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Finding the Third Proportional to 181,528.25 and 394,540.75

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Solution

The third proportional to 181,528.25 and 394,540.75 is: 857,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,528.25 : 394,540.75 = 394,540.75 : x
  2. Step 2: Convert to fraction form
    181,528.25/394,540.75 = 394,540.75/x
  3. Step 3: Cross multiply
    181,528.25x = 394,540.75 × 394,540.75
  4. Step 4: Simplify right side
    181,528.25x = 155,662,403,410.56
  5. Step 5: Solve for x
    x = 155,662,403,410.56/181,528.25
  6. Step 6: Final answer
    x = 857,510.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.