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Finding the Third Proportional to 193,542.50 and 394,861

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Solution

The third proportional to 193,542.50 and 394,861 is: 805,586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,542.50 : 394,861 = 394,861 : x
  2. Step 2: Convert to fraction form
    193,542.50/394,861 = 394,861/x
  3. Step 3: Cross multiply
    193,542.50x = 394,861 × 394,861
  4. Step 4: Simplify right side
    193,542.50x = 155,915,209,321
  5. Step 5: Solve for x
    x = 155,915,209,321/193,542.50
  6. Step 6: Final answer
    x = 805,586.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.