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Finding the Third Proportional to 167,934 and 351,451

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Solution

The third proportional to 167,934 and 351,451 is: 735,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,934 : 351,451 = 351,451 : x
  2. Step 2: Convert to fraction form
    167,934/351,451 = 351,451/x
  3. Step 3: Cross multiply
    167,934x = 351,451 × 351,451
  4. Step 4: Simplify right side
    167,934x = 123,517,805,401
  5. Step 5: Solve for x
    x = 123,517,805,401/167,934
  6. Step 6: Final answer
    x = 735,513.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.