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Finding the Third Proportional to 106,768 and 226,705

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Solution

The third proportional to 106,768 and 226,705 is: 481,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,768 : 226,705 = 226,705 : x
  2. Step 2: Convert to fraction form
    106,768/226,705 = 226,705/x
  3. Step 3: Cross multiply
    106,768x = 226,705 × 226,705
  4. Step 4: Simplify right side
    106,768x = 51,395,157,025
  5. Step 5: Solve for x
    x = 51,395,157,025/106,768
  6. Step 6: Final answer
    x = 481,372.29

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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.