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Finding the Third Proportional to 106,772 and 226,714

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Solution

The third proportional to 106,772 and 226,714 is: 481,392.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,772 : 226,714 = 226,714 : x
  2. Step 2: Convert to fraction form
    106,772/226,714 = 226,714/x
  3. Step 3: Cross multiply
    106,772x = 226,714 × 226,714
  4. Step 4: Simplify right side
    106,772x = 51,399,237,796
  5. Step 5: Solve for x
    x = 51,399,237,796/106,772
  6. Step 6: Final answer
    x = 481,392.48

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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.