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Finding the Third Proportional to 183,940.88 and 394,092.84

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Solution

The third proportional to 183,940.88 and 394,092.84 is: 844,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,940.88 : 394,092.84 = 394,092.84 : x
  2. Step 2: Convert to fraction form
    183,940.88/394,092.84 = 394,092.84/x
  3. Step 3: Cross multiply
    183,940.88x = 394,092.84 × 394,092.84
  4. Step 4: Simplify right side
    183,940.88x = 155,309,169,494.96
  5. Step 5: Solve for x
    x = 155,309,169,494.96/183,940.88
  6. Step 6: Final answer
    x = 844,342.89

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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.