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Finding the Third Proportional to 106,517 and 226,008

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Solution

The third proportional to 106,517 and 226,008 is: 479,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,517 : 226,008 = 226,008 : x
  2. Step 2: Convert to fraction form
    106,517/226,008 = 226,008/x
  3. Step 3: Cross multiply
    106,517x = 226,008 × 226,008
  4. Step 4: Simplify right side
    106,517x = 51,079,616,064
  5. Step 5: Solve for x
    x = 51,079,616,064/106,517
  6. Step 6: Final answer
    x = 479,544.26

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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.