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Finding the Third Proportional to 84,434 and 182,016

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Solution

The third proportional to 84,434 and 182,016 is: 392,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,434 : 182,016 = 182,016 : x
  2. Step 2: Convert to fraction form
    84,434/182,016 = 182,016/x
  3. Step 3: Cross multiply
    84,434x = 182,016 × 182,016
  4. Step 4: Simplify right side
    84,434x = 33,129,824,256
  5. Step 5: Solve for x
    x = 33,129,824,256/84,434
  6. Step 6: Final answer
    x = 392,375.40

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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.