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Finding the Third Proportional to 192,844 and 415,286

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Solution

The third proportional to 192,844 and 415,286 is: 894,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,844 : 415,286 = 415,286 : x
  2. Step 2: Convert to fraction form
    192,844/415,286 = 415,286/x
  3. Step 3: Cross multiply
    192,844x = 415,286 × 415,286
  4. Step 4: Simplify right side
    192,844x = 172,462,461,796
  5. Step 5: Solve for x
    x = 172,462,461,796/192,844
  6. Step 6: Final answer
    x = 894,310.75

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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.