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Finding the Third Proportional to 192,816 and 415,231

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Solution

The third proportional to 192,816 and 415,231 is: 894,203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,816 : 415,231 = 415,231 : x
  2. Step 2: Convert to fraction form
    192,816/415,231 = 415,231/x
  3. Step 3: Cross multiply
    192,816x = 415,231 × 415,231
  4. Step 4: Simplify right side
    192,816x = 172,416,783,361
  5. Step 5: Solve for x
    x = 172,416,783,361/192,816
  6. Step 6: Final answer
    x = 894,203.71

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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.