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Finding the Third Proportional to 192,824 and 415,249

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Solution

The third proportional to 192,824 and 415,249 is: 894,244.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,824 : 415,249 = 415,249 : x
  2. Step 2: Convert to fraction form
    192,824/415,249 = 415,249/x
  3. Step 3: Cross multiply
    192,824x = 415,249 × 415,249
  4. Step 4: Simplify right side
    192,824x = 172,431,732,001
  5. Step 5: Solve for x
    x = 172,431,732,001/192,824
  6. Step 6: Final answer
    x = 894,244.14

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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.