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Finding the Third Proportional to 184,532 and 401,049

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Solution

The third proportional to 184,532 and 401,049 is: 871,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,532 : 401,049 = 401,049 : x
  2. Step 2: Convert to fraction form
    184,532/401,049 = 401,049/x
  3. Step 3: Cross multiply
    184,532x = 401,049 × 401,049
  4. Step 4: Simplify right side
    184,532x = 160,840,300,401
  5. Step 5: Solve for x
    x = 160,840,300,401/184,532
  6. Step 6: Final answer
    x = 871,611.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.