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Finding the Third Proportional to 104,832 and 228,096

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Solution

The third proportional to 104,832 and 228,096 is: 496,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,832 : 228,096 = 228,096 : x
  2. Step 2: Convert to fraction form
    104,832/228,096 = 228,096/x
  3. Step 3: Cross multiply
    104,832x = 228,096 × 228,096
  4. Step 4: Simplify right side
    104,832x = 52,027,785,216
  5. Step 5: Solve for x
    x = 52,027,785,216/104,832
  6. Step 6: Final answer
    x = 496,296.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.