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Finding the Third Proportional to 184,869 and 264,181.50

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Solution

The third proportional to 184,869 and 264,181.50 is: 377,520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,869 : 264,181.50 = 264,181.50 : x
  2. Step 2: Convert to fraction form
    184,869/264,181.50 = 264,181.50/x
  3. Step 3: Cross multiply
    184,869x = 264,181.50 × 264,181.50
  4. Step 4: Simplify right side
    184,869x = 69,791,864,942.25
  5. Step 5: Solve for x
    x = 69,791,864,942.25/184,869
  6. Step 6: Final answer
    x = 377,520.65

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