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Finding the Third Proportional to 184,696 and 280,932

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Solution

The third proportional to 184,696 and 280,932 is: 427,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,696 : 280,932 = 280,932 : x
  2. Step 2: Convert to fraction form
    184,696/280,932 = 280,932/x
  3. Step 3: Cross multiply
    184,696x = 280,932 × 280,932
  4. Step 4: Simplify right side
    184,696x = 78,922,788,624
  5. Step 5: Solve for x
    x = 78,922,788,624/184,696
  6. Step 6: Final answer
    x = 427,311.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.