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Finding the Third Proportional to 183,928 and 394,094

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Solution

The third proportional to 183,928 and 394,094 is: 844,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,928 : 394,094 = 394,094 : x
  2. Step 2: Convert to fraction form
    183,928/394,094 = 394,094/x
  3. Step 3: Cross multiply
    183,928x = 394,094 × 394,094
  4. Step 4: Simplify right side
    183,928x = 155,310,080,836
  5. Step 5: Solve for x
    x = 155,310,080,836/183,928
  6. Step 6: Final answer
    x = 844,406.95

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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.