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Finding the Third Proportional to 184,299 and 247,662.75

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Solution

The third proportional to 184,299 and 247,662.75 is: 332,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,299 : 247,662.75 = 247,662.75 : x
  2. Step 2: Convert to fraction form
    184,299/247,662.75 = 247,662.75/x
  3. Step 3: Cross multiply
    184,299x = 247,662.75 × 247,662.75
  4. Step 4: Simplify right side
    184,299x = 61,336,837,737.56
  5. Step 5: Solve for x
    x = 61,336,837,737.56/184,299
  6. Step 6: Final answer
    x = 332,811.56

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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.