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Finding the Third Proportional to 184,049 and 389,318

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Solution

The third proportional to 184,049 and 389,318 is: 823,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,049 : 389,318 = 389,318 : x
  2. Step 2: Convert to fraction form
    184,049/389,318 = 389,318/x
  3. Step 3: Cross multiply
    184,049x = 389,318 × 389,318
  4. Step 4: Simplify right side
    184,049x = 151,568,505,124
  5. Step 5: Solve for x
    x = 151,568,505,124/184,049
  6. Step 6: Final answer
    x = 823,522.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.