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Finding the Third Proportional to 184,884 and 405,834

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Solution

The third proportional to 184,884 and 405,834 is: 890,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,884 : 405,834 = 405,834 : x
  2. Step 2: Convert to fraction form
    184,884/405,834 = 405,834/x
  3. Step 3: Cross multiply
    184,884x = 405,834 × 405,834
  4. Step 4: Simplify right side
    184,884x = 164,701,235,556
  5. Step 5: Solve for x
    x = 164,701,235,556/184,884
  6. Step 6: Final answer
    x = 890,835.53

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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.