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Finding the Third Proportional to 103,797 and 226,982

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Solution

The third proportional to 103,797 and 226,982 is: 496,361.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,797 : 226,982 = 226,982 : x
  2. Step 2: Convert to fraction form
    103,797/226,982 = 226,982/x
  3. Step 3: Cross multiply
    103,797x = 226,982 × 226,982
  4. Step 4: Simplify right side
    103,797x = 51,520,828,324
  5. Step 5: Solve for x
    x = 51,520,828,324/103,797
  6. Step 6: Final answer
    x = 496,361.44

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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.