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Finding the Third Proportional to 184,923 and 406,215

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Solution

The third proportional to 184,923 and 406,215 is: 892,320.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,923 : 406,215 = 406,215 : x
  2. Step 2: Convert to fraction form
    184,923/406,215 = 406,215/x
  3. Step 3: Cross multiply
    184,923x = 406,215 × 406,215
  4. Step 4: Simplify right side
    184,923x = 165,010,626,225
  5. Step 5: Solve for x
    x = 165,010,626,225/184,923
  6. Step 6: Final answer
    x = 892,320.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.