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Finding the Third Proportional to 184,578 and 394,750

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Solution

The third proportional to 184,578 and 394,750 is: 844,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,578 : 394,750 = 394,750 : x
  2. Step 2: Convert to fraction form
    184,578/394,750 = 394,750/x
  3. Step 3: Cross multiply
    184,578x = 394,750 × 394,750
  4. Step 4: Simplify right side
    184,578x = 155,827,562,500
  5. Step 5: Solve for x
    x = 155,827,562,500/184,578
  6. Step 6: Final answer
    x = 844,236.92

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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.