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Finding the Third Proportional to 106,722 and 226,584

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Solution

The third proportional to 106,722 and 226,584 is: 481,065.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722 : 226,584 = 226,584 : x
  2. Step 2: Convert to fraction form
    106,722/226,584 = 226,584/x
  3. Step 3: Cross multiply
    106,722x = 226,584 × 226,584
  4. Step 4: Simplify right side
    106,722x = 51,340,309,056
  5. Step 5: Solve for x
    x = 51,340,309,056/106,722
  6. Step 6: Final answer
    x = 481,065.84

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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.