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Finding the Third Proportional to 192,260.25 and 414,103

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Solution

The third proportional to 192,260.25 and 414,103 is: 891,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,260.25 : 414,103 = 414,103 : x
  2. Step 2: Convert to fraction form
    192,260.25/414,103 = 414,103/x
  3. Step 3: Cross multiply
    192,260.25x = 414,103 × 414,103
  4. Step 4: Simplify right side
    192,260.25x = 171,481,294,609
  5. Step 5: Solve for x
    x = 171,481,294,609/192,260.25
  6. Step 6: Final answer
    x = 891,922.77

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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.