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Finding the Third Proportional to 106,774 and 226,717

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Solution

The third proportional to 106,774 and 226,717 is: 481,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,774 : 226,717 = 226,717 : x
  2. Step 2: Convert to fraction form
    106,774/226,717 = 226,717/x
  3. Step 3: Cross multiply
    106,774x = 226,717 × 226,717
  4. Step 4: Simplify right side
    106,774x = 51,400,598,089
  5. Step 5: Solve for x
    x = 51,400,598,089/106,774
  6. Step 6: Final answer
    x = 481,396.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.