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Finding the Third Proportional to 197,096 and 431,982

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Solution

The third proportional to 197,096 and 431,982 is: 946,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,096 : 431,982 = 431,982 : x
  2. Step 2: Convert to fraction form
    197,096/431,982 = 431,982/x
  3. Step 3: Cross multiply
    197,096x = 431,982 × 431,982
  4. Step 4: Simplify right side
    197,096x = 186,608,448,324
  5. Step 5: Solve for x
    x = 186,608,448,324/197,096
  6. Step 6: Final answer
    x = 946,789.63

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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.