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Finding the Third Proportional to 184,227 and 281,687

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Solution

The third proportional to 184,227 and 281,687 is: 430,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,227 : 281,687 = 281,687 : x
  2. Step 2: Convert to fraction form
    184,227/281,687 = 281,687/x
  3. Step 3: Cross multiply
    184,227x = 281,687 × 281,687
  4. Step 4: Simplify right side
    184,227x = 79,347,565,969
  5. Step 5: Solve for x
    x = 79,347,565,969/184,227
  6. Step 6: Final answer
    x = 430,705.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.