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Finding the Third Proportional to 84,384 and 182,781

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Solution

The third proportional to 84,384 and 182,781 is: 395,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,384 : 182,781 = 182,781 : x
  2. Step 2: Convert to fraction form
    84,384/182,781 = 182,781/x
  3. Step 3: Cross multiply
    84,384x = 182,781 × 182,781
  4. Step 4: Simplify right side
    84,384x = 33,408,893,961
  5. Step 5: Solve for x
    x = 33,408,893,961/84,384
  6. Step 6: Final answer
    x = 395,915.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.