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Finding the Third Proportional to 197,932 and 431,384

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Solution

The third proportional to 197,932 and 431,384 is: 940,182.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,932 : 431,384 = 431,384 : x
  2. Step 2: Convert to fraction form
    197,932/431,384 = 431,384/x
  3. Step 3: Cross multiply
    197,932x = 431,384 × 431,384
  4. Step 4: Simplify right side
    197,932x = 186,092,155,456
  5. Step 5: Solve for x
    x = 186,092,155,456/197,932
  6. Step 6: Final answer
    x = 940,182.26

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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.