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Finding the Third Proportional to 184,048 and 394,320

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Solution

The third proportional to 184,048 and 394,320 is: 844,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,048 : 394,320 = 394,320 : x
  2. Step 2: Convert to fraction form
    184,048/394,320 = 394,320/x
  3. Step 3: Cross multiply
    184,048x = 394,320 × 394,320
  4. Step 4: Simplify right side
    184,048x = 155,488,262,400
  5. Step 5: Solve for x
    x = 155,488,262,400/184,048
  6. Step 6: Final answer
    x = 844,824.52

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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.