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Finding the Third Proportional to 183,976 and 394,208

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Solution

The third proportional to 183,976 and 394,208 is: 844,675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,976 : 394,208 = 394,208 : x
  2. Step 2: Convert to fraction form
    183,976/394,208 = 394,208/x
  3. Step 3: Cross multiply
    183,976x = 394,208 × 394,208
  4. Step 4: Simplify right side
    183,976x = 155,399,947,264
  5. Step 5: Solve for x
    x = 155,399,947,264/183,976
  6. Step 6: Final answer
    x = 844,675.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.