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Finding the Third Proportional to 183,991.50 and 394,206.75

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Solution

The third proportional to 183,991.50 and 394,206.75 is: 844,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,991.50 : 394,206.75 = 394,206.75 : x
  2. Step 2: Convert to fraction form
    183,991.50/394,206.75 = 394,206.75/x
  3. Step 3: Cross multiply
    183,991.50x = 394,206.75 × 394,206.75
  4. Step 4: Simplify right side
    183,991.50x = 155,398,961,745.56
  5. Step 5: Solve for x
    x = 155,398,961,745.56/183,991.50
  6. Step 6: Final answer
    x = 844,598.59

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