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Finding the Third Proportional to 84,842 and 182,797

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Solution

The third proportional to 84,842 and 182,797 is: 393,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,842 : 182,797 = 182,797 : x
  2. Step 2: Convert to fraction form
    84,842/182,797 = 182,797/x
  3. Step 3: Cross multiply
    84,842x = 182,797 × 182,797
  4. Step 4: Simplify right side
    84,842x = 33,414,743,209
  5. Step 5: Solve for x
    x = 33,414,743,209/84,842
  6. Step 6: Final answer
    x = 393,846.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.