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Finding the Third Proportional to 184,567 and 401,149

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Solution

The third proportional to 184,567 and 401,149 is: 871,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,567 : 401,149 = 401,149 : x
  2. Step 2: Convert to fraction form
    184,567/401,149 = 401,149/x
  3. Step 3: Cross multiply
    184,567x = 401,149 × 401,149
  4. Step 4: Simplify right side
    184,567x = 160,920,520,201
  5. Step 5: Solve for x
    x = 160,920,520,201/184,567
  6. Step 6: Final answer
    x = 871,881.32

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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.