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Finding the Third Proportional to 184,193 and 407,099

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Solution

The third proportional to 184,193 and 407,099 is: 899,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,193 : 407,099 = 407,099 : x
  2. Step 2: Convert to fraction form
    184,193/407,099 = 407,099/x
  3. Step 3: Cross multiply
    184,193x = 407,099 × 407,099
  4. Step 4: Simplify right side
    184,193x = 165,729,595,801
  5. Step 5: Solve for x
    x = 165,729,595,801/184,193
  6. Step 6: Final answer
    x = 899,760.55

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.