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Finding the Third Proportional to 179,366 and 269,475

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Solution

The third proportional to 179,366 and 269,475 is: 404,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,366 : 269,475 = 269,475 : x
  2. Step 2: Convert to fraction form
    179,366/269,475 = 269,475/x
  3. Step 3: Cross multiply
    179,366x = 269,475 × 269,475
  4. Step 4: Simplify right side
    179,366x = 72,616,775,625
  5. Step 5: Solve for x
    x = 72,616,775,625/179,366
  6. Step 6: Final answer
    x = 404,852.51

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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.