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Finding the Third Proportional to 184,951.69 and 397,969.88

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Solution

The third proportional to 184,951.69 and 397,969.88 is: 856,331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,951.69 : 397,969.88 = 397,969.88 : x
  2. Step 2: Convert to fraction form
    184,951.69/397,969.88 = 397,969.88/x
  3. Step 3: Cross multiply
    184,951.69x = 397,969.88 × 397,969.88
  4. Step 4: Simplify right side
    184,951.69x = 158,380,021,407.52
  5. Step 5: Solve for x
    x = 158,380,021,407.52/184,951.69
  6. Step 6: Final answer
    x = 856,331.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.