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Finding the Third Proportional to 184,089 and 397,227

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Solution

The third proportional to 184,089 and 397,227 is: 857,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,089 : 397,227 = 397,227 : x
  2. Step 2: Convert to fraction form
    184,089/397,227 = 397,227/x
  3. Step 3: Cross multiply
    184,089x = 397,227 × 397,227
  4. Step 4: Simplify right side
    184,089x = 157,789,289,529
  5. Step 5: Solve for x
    x = 157,789,289,529/184,089
  6. Step 6: Final answer
    x = 857,135.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.