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Finding the Third Proportional to 197,972 and 431,676

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Solution

The third proportional to 197,972 and 431,676 is: 941,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,972 : 431,676 = 431,676 : x
  2. Step 2: Convert to fraction form
    197,972/431,676 = 431,676/x
  3. Step 3: Cross multiply
    197,972x = 431,676 × 431,676
  4. Step 4: Simplify right side
    197,972x = 186,344,168,976
  5. Step 5: Solve for x
    x = 186,344,168,976/197,972
  6. Step 6: Final answer
    x = 941,265.27

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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.