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Finding the Third Proportional to 106,908 and 225,888

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Solution

The third proportional to 106,908 and 225,888 is: 477,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,908 : 225,888 = 225,888 : x
  2. Step 2: Convert to fraction form
    106,908/225,888 = 225,888/x
  3. Step 3: Cross multiply
    106,908x = 225,888 × 225,888
  4. Step 4: Simplify right side
    106,908x = 51,025,388,544
  5. Step 5: Solve for x
    x = 51,025,388,544/106,908
  6. Step 6: Final answer
    x = 477,283.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.