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Finding the Third Proportional to 197,193 and 431,703

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Solution

The third proportional to 197,193 and 431,703 is: 945,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,193 : 431,703 = 431,703 : x
  2. Step 2: Convert to fraction form
    197,193/431,703 = 431,703/x
  3. Step 3: Cross multiply
    197,193x = 431,703 × 431,703
  4. Step 4: Simplify right side
    197,193x = 186,367,480,209
  5. Step 5: Solve for x
    x = 186,367,480,209/197,193
  6. Step 6: Final answer
    x = 945,101.91

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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.