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Finding the Third Proportional to 197,967 and 431,670

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Solution

The third proportional to 197,967 and 431,670 is: 941,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,967 : 431,670 = 431,670 : x
  2. Step 2: Convert to fraction form
    197,967/431,670 = 431,670/x
  3. Step 3: Cross multiply
    197,967x = 431,670 × 431,670
  4. Step 4: Simplify right side
    197,967x = 186,338,988,900
  5. Step 5: Solve for x
    x = 186,338,988,900/197,967
  6. Step 6: Final answer
    x = 941,262.88

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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.