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Finding the Third Proportional to 182,787.75 and 394,476.19

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Solution

The third proportional to 182,787.75 and 394,476.19 is: 851,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,787.75 : 394,476.19 = 394,476.19 : x
  2. Step 2: Convert to fraction form
    182,787.75/394,476.19 = 394,476.19/x
  3. Step 3: Cross multiply
    182,787.75x = 394,476.19 × 394,476.19
  4. Step 4: Simplify right side
    182,787.75x = 155,611,462,504.54
  5. Step 5: Solve for x
    x = 155,611,462,504.54/182,787.75
  6. Step 6: Final answer
    x = 851,323.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.