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Finding the Third Proportional to 179,631 and 269,460

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Solution

The third proportional to 179,631 and 269,460 is: 404,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,631 : 269,460 = 269,460 : x
  2. Step 2: Convert to fraction form
    179,631/269,460 = 269,460/x
  3. Step 3: Cross multiply
    179,631x = 269,460 × 269,460
  4. Step 4: Simplify right side
    179,631x = 72,608,691,600
  5. Step 5: Solve for x
    x = 72,608,691,600/179,631
  6. Step 6: Final answer
    x = 404,210.25

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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.