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Finding the Third Proportional to 106,356 and 218,176

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Solution

The third proportional to 106,356 and 218,176 is: 447,560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,356 : 218,176 = 218,176 : x
  2. Step 2: Convert to fraction form
    106,356/218,176 = 218,176/x
  3. Step 3: Cross multiply
    106,356x = 218,176 × 218,176
  4. Step 4: Simplify right side
    106,356x = 47,600,766,976
  5. Step 5: Solve for x
    x = 47,600,766,976/106,356
  6. Step 6: Final answer
    x = 447,560.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.