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Finding the Third Proportional to 84,453 and 182,439

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Solution

The third proportional to 84,453 and 182,439 is: 394,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,453 : 182,439 = 182,439 : x
  2. Step 2: Convert to fraction form
    84,453/182,439 = 182,439/x
  3. Step 3: Cross multiply
    84,453x = 182,439 × 182,439
  4. Step 4: Simplify right side
    84,453x = 33,283,988,721
  5. Step 5: Solve for x
    x = 33,283,988,721/84,453
  6. Step 6: Final answer
    x = 394,112.57

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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.