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Finding the Third Proportional to 106,984 and 225,906

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Solution

The third proportional to 106,984 and 225,906 is: 477,020.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,984 : 225,906 = 225,906 : x
  2. Step 2: Convert to fraction form
    106,984/225,906 = 225,906/x
  3. Step 3: Cross multiply
    106,984x = 225,906 × 225,906
  4. Step 4: Simplify right side
    106,984x = 51,033,520,836
  5. Step 5: Solve for x
    x = 51,033,520,836/106,984
  6. Step 6: Final answer
    x = 477,020.12

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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.