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Finding the Third Proportional to 84,478 and 182,899

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Solution

The third proportional to 84,478 and 182,899 is: 395,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,478 : 182,899 = 182,899 : x
  2. Step 2: Convert to fraction form
    84,478/182,899 = 182,899/x
  3. Step 3: Cross multiply
    84,478x = 182,899 × 182,899
  4. Step 4: Simplify right side
    84,478x = 33,452,044,201
  5. Step 5: Solve for x
    x = 33,452,044,201/84,478
  6. Step 6: Final answer
    x = 395,985.28

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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.