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Finding the Third Proportional to 192,863 and 414,697

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Solution

The third proportional to 192,863 and 414,697 is: 891,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,863 : 414,697 = 414,697 : x
  2. Step 2: Convert to fraction form
    192,863/414,697 = 414,697/x
  3. Step 3: Cross multiply
    192,863x = 414,697 × 414,697
  4. Step 4: Simplify right side
    192,863x = 171,973,601,809
  5. Step 5: Solve for x
    x = 171,973,601,809/192,863
  6. Step 6: Final answer
    x = 891,687.89

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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.