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Finding the Third Proportional to 184,561 and 401,137

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Solution

The third proportional to 184,561 and 401,137 is: 871,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,561 : 401,137 = 401,137 : x
  2. Step 2: Convert to fraction form
    184,561/401,137 = 401,137/x
  3. Step 3: Cross multiply
    184,561x = 401,137 × 401,137
  4. Step 4: Simplify right side
    184,561x = 160,910,892,769
  5. Step 5: Solve for x
    x = 160,910,892,769/184,561
  6. Step 6: Final answer
    x = 871,857.50

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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.