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Finding the Third Proportional to 184,068 and 394,380

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Solution

The third proportional to 184,068 and 394,380 is: 844,989.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,068 : 394,380 = 394,380 : x
  2. Step 2: Convert to fraction form
    184,068/394,380 = 394,380/x
  3. Step 3: Cross multiply
    184,068x = 394,380 × 394,380
  4. Step 4: Simplify right side
    184,068x = 155,535,584,400
  5. Step 5: Solve for x
    x = 155,535,584,400/184,068
  6. Step 6: Final answer
    x = 844,989.81

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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.