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Finding the Third Proportional to 168,293 and 368,266

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Solution

The third proportional to 168,293 and 368,266 is: 805,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,293 : 368,266 = 368,266 : x
  2. Step 2: Convert to fraction form
    168,293/368,266 = 368,266/x
  3. Step 3: Cross multiply
    168,293x = 368,266 × 368,266
  4. Step 4: Simplify right side
    168,293x = 135,619,846,756
  5. Step 5: Solve for x
    x = 135,619,846,756/168,293
  6. Step 6: Final answer
    x = 805,855.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.