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Finding the Third Proportional to 103,631 and 226,948

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Solution

The third proportional to 103,631 and 226,948 is: 497,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,631 : 226,948 = 226,948 : x
  2. Step 2: Convert to fraction form
    103,631/226,948 = 226,948/x
  3. Step 3: Cross multiply
    103,631x = 226,948 × 226,948
  4. Step 4: Simplify right side
    103,631x = 51,505,394,704
  5. Step 5: Solve for x
    x = 51,505,394,704/103,631
  6. Step 6: Final answer
    x = 497,007.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.