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Finding the Third Proportional to 237,966 and 350,367

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Solution

The third proportional to 237,966 and 350,367 is: 515,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,966 : 350,367 = 350,367 : x
  2. Step 2: Convert to fraction form
    237,966/350,367 = 350,367/x
  3. Step 3: Cross multiply
    237,966x = 350,367 × 350,367
  4. Step 4: Simplify right side
    237,966x = 122,757,034,689
  5. Step 5: Solve for x
    x = 122,757,034,689/237,966
  6. Step 6: Final answer
    x = 515,859.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.