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Finding the Third Proportional to 84,534 and 182,606

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Solution

The third proportional to 84,534 and 182,606 is: 394,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,534 : 182,606 = 182,606 : x
  2. Step 2: Convert to fraction form
    84,534/182,606 = 182,606/x
  3. Step 3: Cross multiply
    84,534x = 182,606 × 182,606
  4. Step 4: Simplify right side
    84,534x = 33,344,951,236
  5. Step 5: Solve for x
    x = 33,344,951,236/84,534
  6. Step 6: Final answer
    x = 394,456.09

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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.