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Finding the Third Proportional to 197,923 and 431,367

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Solution

The third proportional to 197,923 and 431,367 is: 940,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,923 : 431,367 = 431,367 : x
  2. Step 2: Convert to fraction form
    197,923/431,367 = 431,367/x
  3. Step 3: Cross multiply
    197,923x = 431,367 × 431,367
  4. Step 4: Simplify right side
    197,923x = 186,077,488,689
  5. Step 5: Solve for x
    x = 186,077,488,689/197,923
  6. Step 6: Final answer
    x = 940,150.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.