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Finding the Third Proportional to 169,424 and 368,366

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Solution

The third proportional to 169,424 and 368,366 is: 800,910.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,424 : 368,366 = 368,366 : x
  2. Step 2: Convert to fraction form
    169,424/368,366 = 368,366/x
  3. Step 3: Cross multiply
    169,424x = 368,366 × 368,366
  4. Step 4: Simplify right side
    169,424x = 135,693,509,956
  5. Step 5: Solve for x
    x = 135,693,509,956/169,424
  6. Step 6: Final answer
    x = 800,910.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.