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Finding the Third Proportional to 170,764 and 374,198

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Solution

The third proportional to 170,764 and 374,198 is: 819,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,764 : 374,198 = 374,198 : x
  2. Step 2: Convert to fraction form
    170,764/374,198 = 374,198/x
  3. Step 3: Cross multiply
    170,764x = 374,198 × 374,198
  4. Step 4: Simplify right side
    170,764x = 140,024,143,204
  5. Step 5: Solve for x
    x = 140,024,143,204/170,764
  6. Step 6: Final answer
    x = 819,986.32

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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.