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Finding the Third Proportional to 167,869 and 343,491

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Solution

The third proportional to 167,869 and 343,491 is: 702,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,869 : 343,491 = 343,491 : x
  2. Step 2: Convert to fraction form
    167,869/343,491 = 343,491/x
  3. Step 3: Cross multiply
    167,869x = 343,491 × 343,491
  4. Step 4: Simplify right side
    167,869x = 117,986,067,081
  5. Step 5: Solve for x
    x = 117,986,067,081/167,869
  6. Step 6: Final answer
    x = 702,846.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.