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Finding the Third Proportional to 104,832 and 226,399.78

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Solution

The third proportional to 104,832 and 226,399.78 is: 488,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,832 : 226,399.78 = 226,399.78 : x
  2. Step 2: Convert to fraction form
    104,832/226,399.78 = 226,399.78/x
  3. Step 3: Cross multiply
    104,832x = 226,399.78 × 226,399.78
  4. Step 4: Simplify right side
    104,832x = 51,256,860,950.05
  5. Step 5: Solve for x
    x = 51,256,860,950.05/104,832
  6. Step 6: Final answer
    x = 488,942.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.