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Finding the Third Proportional to 106,650 and 226,449

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Solution

The third proportional to 106,650 and 226,449 is: 480,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,650 : 226,449 = 226,449 : x
  2. Step 2: Convert to fraction form
    106,650/226,449 = 226,449/x
  3. Step 3: Cross multiply
    106,650x = 226,449 × 226,449
  4. Step 4: Simplify right side
    106,650x = 51,279,149,601
  5. Step 5: Solve for x
    x = 51,279,149,601/106,650
  6. Step 6: Final answer
    x = 480,817.16

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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.