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Finding the Third Proportional to 184,311 and 247,675

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Solution

The third proportional to 184,311 and 247,675 is: 332,822.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,311 : 247,675 = 247,675 : x
  2. Step 2: Convert to fraction form
    184,311/247,675 = 247,675/x
  3. Step 3: Cross multiply
    184,311x = 247,675 × 247,675
  4. Step 4: Simplify right side
    184,311x = 61,342,905,625
  5. Step 5: Solve for x
    x = 61,342,905,625/184,311
  6. Step 6: Final answer
    x = 332,822.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.