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Finding the Third Proportional to 184,761 and 405,891

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Solution

The third proportional to 184,761 and 405,891 is: 891,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,761 : 405,891 = 405,891 : x
  2. Step 2: Convert to fraction form
    184,761/405,891 = 405,891/x
  3. Step 3: Cross multiply
    184,761x = 405,891 × 405,891
  4. Step 4: Simplify right side
    184,761x = 164,747,503,881
  5. Step 5: Solve for x
    x = 164,747,503,881/184,761
  6. Step 6: Final answer
    x = 891,679.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.