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Finding the Third Proportional to 103,690 and 226,868

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Solution

The third proportional to 103,690 and 226,868 is: 496,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690 : 226,868 = 226,868 : x
  2. Step 2: Convert to fraction form
    103,690/226,868 = 226,868/x
  3. Step 3: Cross multiply
    103,690x = 226,868 × 226,868
  4. Step 4: Simplify right side
    103,690x = 51,469,089,424
  5. Step 5: Solve for x
    x = 51,469,089,424/103,690
  6. Step 6: Final answer
    x = 496,374.67

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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.