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Finding the Third Proportional to 184,615 and 276,615

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Solution

The third proportional to 184,615 and 276,615 is: 414,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,615 : 276,615 = 276,615 : x
  2. Step 2: Convert to fraction form
    184,615/276,615 = 276,615/x
  3. Step 3: Cross multiply
    184,615x = 276,615 × 276,615
  4. Step 4: Simplify right side
    184,615x = 76,515,858,225
  5. Step 5: Solve for x
    x = 76,515,858,225/184,615
  6. Step 6: Final answer
    x = 414,461.76

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Why These Related Problems?

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