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Finding the Third Proportional to 195,858 and 408,744

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Solution

The third proportional to 195,858 and 408,744 is: 853,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,858 : 408,744 = 408,744 : x
  2. Step 2: Convert to fraction form
    195,858/408,744 = 408,744/x
  3. Step 3: Cross multiply
    195,858x = 408,744 × 408,744
  4. Step 4: Simplify right side
    195,858x = 167,071,657,536
  5. Step 5: Solve for x
    x = 167,071,657,536/195,858
  6. Step 6: Final answer
    x = 853,024.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.