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Finding the Third Proportional to 197,206 and 431,932

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Solution

The third proportional to 197,206 and 431,932 is: 946,042.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,206 : 431,932 = 431,932 : x
  2. Step 2: Convert to fraction form
    197,206/431,932 = 431,932/x
  3. Step 3: Cross multiply
    197,206x = 431,932 × 431,932
  4. Step 4: Simplify right side
    197,206x = 186,565,252,624
  5. Step 5: Solve for x
    x = 186,565,252,624/197,206
  6. Step 6: Final answer
    x = 946,042.48

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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.