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Finding the Third Proportional to 168,293 and 364,625

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Solution

The third proportional to 168,293 and 364,625 is: 789,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,293 : 364,625 = 364,625 : x
  2. Step 2: Convert to fraction form
    168,293/364,625 = 364,625/x
  3. Step 3: Cross multiply
    168,293x = 364,625 × 364,625
  4. Step 4: Simplify right side
    168,293x = 132,951,390,625
  5. Step 5: Solve for x
    x = 132,951,390,625/168,293
  6. Step 6: Final answer
    x = 789,999.53

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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.