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Finding the Third Proportional to 183,057 and 394,203

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Solution

The third proportional to 183,057 and 394,203 is: 848,894.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,057 : 394,203 = 394,203 : x
  2. Step 2: Convert to fraction form
    183,057/394,203 = 394,203/x
  3. Step 3: Cross multiply
    183,057x = 394,203 × 394,203
  4. Step 4: Simplify right side
    183,057x = 155,396,005,209
  5. Step 5: Solve for x
    x = 155,396,005,209/183,057
  6. Step 6: Final answer
    x = 848,894.09

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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.