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Finding the Third Proportional to 226,268 and 446,825

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Solution

The third proportional to 226,268 and 446,825 is: 882,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,268 : 446,825 = 446,825 : x
  2. Step 2: Convert to fraction form
    226,268/446,825 = 446,825/x
  3. Step 3: Cross multiply
    226,268x = 446,825 × 446,825
  4. Step 4: Simplify right side
    226,268x = 199,652,580,625
  5. Step 5: Solve for x
    x = 199,652,580,625/226,268
  6. Step 6: Final answer
    x = 882,372.15

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.