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Finding the Third Proportional to 197,917 and 431,356

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Solution

The third proportional to 197,917 and 431,356 is: 940,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,917 : 431,356 = 431,356 : x
  2. Step 2: Convert to fraction form
    197,917/431,356 = 431,356/x
  3. Step 3: Cross multiply
    197,917x = 431,356 × 431,356
  4. Step 4: Simplify right side
    197,917x = 186,067,998,736
  5. Step 5: Solve for x
    x = 186,067,998,736/197,917
  6. Step 6: Final answer
    x = 940,131.46

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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.