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Finding the Third Proportional to 226,800 and 488,268

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Solution

The third proportional to 226,800 and 488,268 is: 1,051,171.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,800 : 488,268 = 488,268 : x
  2. Step 2: Convert to fraction form
    226,800/488,268 = 488,268/x
  3. Step 3: Cross multiply
    226,800x = 488,268 × 488,268
  4. Step 4: Simplify right side
    226,800x = 238,405,639,824
  5. Step 5: Solve for x
    x = 238,405,639,824/226,800
  6. Step 6: Final answer
    x = 1,051,171.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.