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Finding the Third Proportional to 84,839 and 182,791

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Solution

The third proportional to 84,839 and 182,791 is: 393,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,839 : 182,791 = 182,791 : x
  2. Step 2: Convert to fraction form
    84,839/182,791 = 182,791/x
  3. Step 3: Cross multiply
    84,839x = 182,791 × 182,791
  4. Step 4: Simplify right side
    84,839x = 33,412,549,681
  5. Step 5: Solve for x
    x = 33,412,549,681/84,839
  6. Step 6: Final answer
    x = 393,834.79

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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.