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Finding the Third Proportional to 184,586 and 401,188

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Solution

The third proportional to 184,586 and 401,188 is: 871,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,586 : 401,188 = 401,188 : x
  2. Step 2: Convert to fraction form
    184,586/401,188 = 401,188/x
  3. Step 3: Cross multiply
    184,586x = 401,188 × 401,188
  4. Step 4: Simplify right side
    184,586x = 160,951,811,344
  5. Step 5: Solve for x
    x = 160,951,811,344/184,586
  6. Step 6: Final answer
    x = 871,961.10

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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.