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Finding the Third Proportional to 197,939 and 431,398

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Solution

The third proportional to 197,939 and 431,398 is: 940,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,939 : 431,398 = 431,398 : x
  2. Step 2: Convert to fraction form
    197,939/431,398 = 431,398/x
  3. Step 3: Cross multiply
    197,939x = 431,398 × 431,398
  4. Step 4: Simplify right side
    197,939x = 186,104,234,404
  5. Step 5: Solve for x
    x = 186,104,234,404/197,939
  6. Step 6: Final answer
    x = 940,210.04

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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.