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Finding the Third Proportional to 84,809 and 182,497

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Solution

The third proportional to 84,809 and 182,497 is: 392,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,809 : 182,497 = 182,497 : x
  2. Step 2: Convert to fraction form
    84,809/182,497 = 182,497/x
  3. Step 3: Cross multiply
    84,809x = 182,497 × 182,497
  4. Step 4: Simplify right side
    84,809x = 33,305,155,009
  5. Step 5: Solve for x
    x = 33,305,155,009/84,809
  6. Step 6: Final answer
    x = 392,707.79

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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.