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Finding the Third Proportional to 84,452 and 182,438

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Solution

The third proportional to 84,452 and 182,438 is: 394,112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,452 : 182,438 = 182,438 : x
  2. Step 2: Convert to fraction form
    84,452/182,438 = 182,438/x
  3. Step 3: Cross multiply
    84,452x = 182,438 × 182,438
  4. Step 4: Simplify right side
    84,452x = 33,283,623,844
  5. Step 5: Solve for x
    x = 33,283,623,844/84,452
  6. Step 6: Final answer
    x = 394,112.91

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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.