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Finding the Third Proportional to 188,251 and 413,366

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Solution

The third proportional to 188,251 and 413,366 is: 907,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,251 : 413,366 = 413,366 : x
  2. Step 2: Convert to fraction form
    188,251/413,366 = 413,366/x
  3. Step 3: Cross multiply
    188,251x = 413,366 × 413,366
  4. Step 4: Simplify right side
    188,251x = 170,871,449,956
  5. Step 5: Solve for x
    x = 170,871,449,956/188,251
  6. Step 6: Final answer
    x = 907,678.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.