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Finding the Third Proportional to 192,705.75 and 414,942.75

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Solution

The third proportional to 192,705.75 and 414,942.75 is: 893,473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,705.75 : 414,942.75 = 414,942.75 : x
  2. Step 2: Convert to fraction form
    192,705.75/414,942.75 = 414,942.75/x
  3. Step 3: Cross multiply
    192,705.75x = 414,942.75 × 414,942.75
  4. Step 4: Simplify right side
    192,705.75x = 172,177,485,777.56
  5. Step 5: Solve for x
    x = 172,177,485,777.56/192,705.75
  6. Step 6: Final answer
    x = 893,473.53

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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.