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Finding the Third Proportional to 193,541.50 and 394,859

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Solution

The third proportional to 193,541.50 and 394,859 is: 805,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,541.50 : 394,859 = 394,859 : x
  2. Step 2: Convert to fraction form
    193,541.50/394,859 = 394,859/x
  3. Step 3: Cross multiply
    193,541.50x = 394,859 × 394,859
  4. Step 4: Simplify right side
    193,541.50x = 155,913,629,881
  5. Step 5: Solve for x
    x = 155,913,629,881/193,541.50
  6. Step 6: Final answer
    x = 805,582.42

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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.