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Finding the Third Proportional to 181,423.50 and 394,327.50

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Solution

The third proportional to 181,423.50 and 394,327.50 is: 857,078.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,423.50 : 394,327.50 = 394,327.50 : x
  2. Step 2: Convert to fraction form
    181,423.50/394,327.50 = 394,327.50/x
  3. Step 3: Cross multiply
    181,423.50x = 394,327.50 × 394,327.50
  4. Step 4: Simplify right side
    181,423.50x = 155,494,177,256.25
  5. Step 5: Solve for x
    x = 155,494,177,256.25/181,423.50
  6. Step 6: Final answer
    x = 857,078.48

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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.