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Finding the Third Proportional to 184,608 and 263,997

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Solution

The third proportional to 184,608 and 263,997 is: 377,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,608 : 263,997 = 263,997 : x
  2. Step 2: Convert to fraction form
    184,608/263,997 = 263,997/x
  3. Step 3: Cross multiply
    184,608x = 263,997 × 263,997
  4. Step 4: Simplify right side
    184,608x = 69,694,416,009
  5. Step 5: Solve for x
    x = 69,694,416,009/184,608
  6. Step 6: Final answer
    x = 377,526.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.