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Finding the Third Proportional to 182,108 and 394,168

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Solution

The third proportional to 182,108 and 394,168 is: 853,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,108 : 394,168 = 394,168 : x
  2. Step 2: Convert to fraction form
    182,108/394,168 = 394,168/x
  3. Step 3: Cross multiply
    182,108x = 394,168 × 394,168
  4. Step 4: Simplify right side
    182,108x = 155,368,412,224
  5. Step 5: Solve for x
    x = 155,368,412,224/182,108
  6. Step 6: Final answer
    x = 853,166.32

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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.