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Finding the Third Proportional to 103,676 and 223,291

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Solution

The third proportional to 103,676 and 223,291 is: 480,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676 : 223,291 = 223,291 : x
  2. Step 2: Convert to fraction form
    103,676/223,291 = 223,291/x
  3. Step 3: Cross multiply
    103,676x = 223,291 × 223,291
  4. Step 4: Simplify right side
    103,676x = 49,858,870,681
  5. Step 5: Solve for x
    x = 49,858,870,681/103,676
  6. Step 6: Final answer
    x = 480,910.44

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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.