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Finding the Third Proportional to 193,543.50 and 394,863

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Solution

The third proportional to 193,543.50 and 394,863 is: 805,590.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,543.50 : 394,863 = 394,863 : x
  2. Step 2: Convert to fraction form
    193,543.50/394,863 = 394,863/x
  3. Step 3: Cross multiply
    193,543.50x = 394,863 × 394,863
  4. Step 4: Simplify right side
    193,543.50x = 155,916,788,769
  5. Step 5: Solve for x
    x = 155,916,788,769/193,543.50
  6. Step 6: Final answer
    x = 805,590.42

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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.