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Finding the Third Proportional to 179,797 and 269,371

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Solution

The third proportional to 179,797 and 269,371 is: 403,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,797 : 269,371 = 269,371 : x
  2. Step 2: Convert to fraction form
    179,797/269,371 = 269,371/x
  3. Step 3: Cross multiply
    179,797x = 269,371 × 269,371
  4. Step 4: Simplify right side
    179,797x = 72,560,735,641
  5. Step 5: Solve for x
    x = 72,560,735,641/179,797
  6. Step 6: Final answer
    x = 403,570.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.