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Finding the Third Proportional to 179,599 and 269,399

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Solution

The third proportional to 179,599 and 269,399 is: 404,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,599 : 269,399 = 269,399 : x
  2. Step 2: Convert to fraction form
    179,599/269,399 = 269,399/x
  3. Step 3: Cross multiply
    179,599x = 269,399 × 269,399
  4. Step 4: Simplify right side
    179,599x = 72,575,821,201
  5. Step 5: Solve for x
    x = 72,575,821,201/179,599
  6. Step 6: Final answer
    x = 404,099.25

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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.