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Finding the Third Proportional to 192,266 and 414,115

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Solution

The third proportional to 192,266 and 414,115 is: 891,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,266 : 414,115 = 414,115 : x
  2. Step 2: Convert to fraction form
    192,266/414,115 = 414,115/x
  3. Step 3: Cross multiply
    192,266x = 414,115 × 414,115
  4. Step 4: Simplify right side
    192,266x = 171,491,233,225
  5. Step 5: Solve for x
    x = 171,491,233,225/192,266
  6. Step 6: Final answer
    x = 891,947.79

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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.