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Finding the Third Proportional to 184,354 and 394,820

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Solution

The third proportional to 184,354 and 394,820 is: 845,562.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,354 : 394,820 = 394,820 : x
  2. Step 2: Convert to fraction form
    184,354/394,820 = 394,820/x
  3. Step 3: Cross multiply
    184,354x = 394,820 × 394,820
  4. Step 4: Simplify right side
    184,354x = 155,882,832,400
  5. Step 5: Solve for x
    x = 155,882,832,400/184,354
  6. Step 6: Final answer
    x = 845,562.52

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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.