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Finding the Third Proportional to 183,899 and 394,042

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Solution

The third proportional to 183,899 and 394,042 is: 844,317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,899 : 394,042 = 394,042 : x
  2. Step 2: Convert to fraction form
    183,899/394,042 = 394,042/x
  3. Step 3: Cross multiply
    183,899x = 394,042 × 394,042
  4. Step 4: Simplify right side
    183,899x = 155,269,097,764
  5. Step 5: Solve for x
    x = 155,269,097,764/183,899
  6. Step 6: Final answer
    x = 844,317.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.