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Finding the Third Proportional to 184,050 and 394,324

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Solution

The third proportional to 184,050 and 394,324 is: 844,832.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,050 : 394,324 = 394,324 : x
  2. Step 2: Convert to fraction form
    184,050/394,324 = 394,324/x
  3. Step 3: Cross multiply
    184,050x = 394,324 × 394,324
  4. Step 4: Simplify right side
    184,050x = 155,491,416,976
  5. Step 5: Solve for x
    x = 155,491,416,976/184,050
  6. Step 6: Final answer
    x = 844,832.47

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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.