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Finding the Third Proportional to 199,601 and 431,187

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Solution

The third proportional to 199,601 and 431,187 is: 931,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,601 : 431,187 = 431,187 : x
  2. Step 2: Convert to fraction form
    199,601/431,187 = 431,187/x
  3. Step 3: Cross multiply
    199,601x = 431,187 × 431,187
  4. Step 4: Simplify right side
    199,601x = 185,922,228,969
  5. Step 5: Solve for x
    x = 185,922,228,969/199,601
  6. Step 6: Final answer
    x = 931,469.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.