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Finding the Third Proportional to 179,476 and 269,214

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Solution

The third proportional to 179,476 and 269,214 is: 403,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,476 : 269,214 = 269,214 : x
  2. Step 2: Convert to fraction form
    179,476/269,214 = 269,214/x
  3. Step 3: Cross multiply
    179,476x = 269,214 × 269,214
  4. Step 4: Simplify right side
    179,476x = 72,476,177,796
  5. Step 5: Solve for x
    x = 72,476,177,796/179,476
  6. Step 6: Final answer
    x = 403,821

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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.