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Finding the Third Proportional to 214,906.50 and 276,615

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Solution

The third proportional to 214,906.50 and 276,615 is: 356,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,906.50 : 276,615 = 276,615 : x
  2. Step 2: Convert to fraction form
    214,906.50/276,615 = 276,615/x
  3. Step 3: Cross multiply
    214,906.50x = 276,615 × 276,615
  4. Step 4: Simplify right side
    214,906.50x = 76,515,858,225
  5. Step 5: Solve for x
    x = 76,515,858,225/214,906.50
  6. Step 6: Final answer
    x = 356,042.55

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.