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Finding the Third Proportional to 184,484.25 and 276,729.75

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Solution

The third proportional to 184,484.25 and 276,729.75 is: 415,099.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,484.25 : 276,729.75 = 276,729.75 : x
  2. Step 2: Convert to fraction form
    184,484.25/276,729.75 = 276,729.75/x
  3. Step 3: Cross multiply
    184,484.25x = 276,729.75 × 276,729.75
  4. Step 4: Simplify right side
    184,484.25x = 76,579,354,535.06
  5. Step 5: Solve for x
    x = 76,579,354,535.06/184,484.25
  6. Step 6: Final answer
    x = 415,099.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.