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Finding the Third Proportional to 111,698 and 226,636

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Solution

The third proportional to 111,698 and 226,636 is: 459,845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,698 : 226,636 = 226,636 : x
  2. Step 2: Convert to fraction form
    111,698/226,636 = 226,636/x
  3. Step 3: Cross multiply
    111,698x = 226,636 × 226,636
  4. Step 4: Simplify right side
    111,698x = 51,363,876,496
  5. Step 5: Solve for x
    x = 51,363,876,496/111,698
  6. Step 6: Final answer
    x = 459,845.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.