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Finding the Third Proportional to 106,706.25 and 226,554.75

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Solution

The third proportional to 106,706.25 and 226,554.75 is: 481,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,706.25 : 226,554.75 = 226,554.75 : x
  2. Step 2: Convert to fraction form
    106,706.25/226,554.75 = 226,554.75/x
  3. Step 3: Cross multiply
    106,706.25x = 226,554.75 × 226,554.75
  4. Step 4: Simplify right side
    106,706.25x = 51,327,054,747.56
  5. Step 5: Solve for x
    x = 51,327,054,747.56/106,706.25
  6. Step 6: Final answer
    x = 481,012.64

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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.