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Finding the Third Proportional to 84,190 and 182,912

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Solution

The third proportional to 84,190 and 182,912 is: 397,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,190 : 182,912 = 182,912 : x
  2. Step 2: Convert to fraction form
    84,190/182,912 = 182,912/x
  3. Step 3: Cross multiply
    84,190x = 182,912 × 182,912
  4. Step 4: Simplify right side
    84,190x = 33,456,799,744
  5. Step 5: Solve for x
    x = 33,456,799,744/84,190
  6. Step 6: Final answer
    x = 397,396.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.