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Finding the Third Proportional to 192,976 and 415,484

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Solution

The third proportional to 192,976 and 415,484 is: 894,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,976 : 415,484 = 415,484 : x
  2. Step 2: Convert to fraction form
    192,976/415,484 = 415,484/x
  3. Step 3: Cross multiply
    192,976x = 415,484 × 415,484
  4. Step 4: Simplify right side
    192,976x = 172,626,954,256
  5. Step 5: Solve for x
    x = 172,626,954,256/192,976
  6. Step 6: Final answer
    x = 894,551.42

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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.