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Finding the Third Proportional to 182,112 and 394,176

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Solution

The third proportional to 182,112 and 394,176 is: 853,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,112 : 394,176 = 394,176 : x
  2. Step 2: Convert to fraction form
    182,112/394,176 = 394,176/x
  3. Step 3: Cross multiply
    182,112x = 394,176 × 394,176
  4. Step 4: Simplify right side
    182,112x = 155,374,718,976
  5. Step 5: Solve for x
    x = 155,374,718,976/182,112
  6. Step 6: Final answer
    x = 853,182.21

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Why These Related Problems?

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