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Finding the Third Proportional to 231,794 and 350,941

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Solution

The third proportional to 231,794 and 350,941 is: 531,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,794 : 350,941 = 350,941 : x
  2. Step 2: Convert to fraction form
    231,794/350,941 = 350,941/x
  3. Step 3: Cross multiply
    231,794x = 350,941 × 350,941
  4. Step 4: Simplify right side
    231,794x = 123,159,585,481
  5. Step 5: Solve for x
    x = 123,159,585,481/231,794
  6. Step 6: Final answer
    x = 531,332.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.