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Finding the Third Proportional to 192,840 and 415,314

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Solution

The third proportional to 192,840 and 415,314 is: 894,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,840 : 415,314 = 415,314 : x
  2. Step 2: Convert to fraction form
    192,840/415,314 = 415,314/x
  3. Step 3: Cross multiply
    192,840x = 415,314 × 415,314
  4. Step 4: Simplify right side
    192,840x = 172,485,718,596
  5. Step 5: Solve for x
    x = 172,485,718,596/192,840
  6. Step 6: Final answer
    x = 894,449.90

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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.