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Finding the Third Proportional to 169,474 and 368,458

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Solution

The third proportional to 169,474 and 368,458 is: 801,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,474 : 368,458 = 368,458 : x
  2. Step 2: Convert to fraction form
    169,474/368,458 = 368,458/x
  3. Step 3: Cross multiply
    169,474x = 368,458 × 368,458
  4. Step 4: Simplify right side
    169,474x = 135,761,297,764
  5. Step 5: Solve for x
    x = 135,761,297,764/169,474
  6. Step 6: Final answer
    x = 801,074.49

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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.