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Finding the Third Proportional to 103,690 and 225,817

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Solution

The third proportional to 103,690 and 225,817 is: 491,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 225,817 = 225,817 : x
  2. Step 2: Convert to fraction form
    103,690/225,817 = 225,817/x
  3. Step 3: Cross multiply
    103,690x = 225,817 × 225,817
  4. Step 4: Simplify right side
    103,690x = 50,993,317,489
  5. Step 5: Solve for x
    x = 50,993,317,489/103,690
  6. Step 6: Final answer
    x = 491,786.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.