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Finding the Third Proportional to 179,601 and 269,403

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Solution

The third proportional to 179,601 and 269,403 is: 404,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,601 : 269,403 = 269,403 : x
  2. Step 2: Convert to fraction form
    179,601/269,403 = 269,403/x
  3. Step 3: Cross multiply
    179,601x = 269,403 × 269,403
  4. Step 4: Simplify right side
    179,601x = 72,577,976,409
  5. Step 5: Solve for x
    x = 72,577,976,409/179,601
  6. Step 6: Final answer
    x = 404,106.75

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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.