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Finding the Third Proportional to 177,267 and 265,266

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Solution

The third proportional to 177,267 and 265,266 is: 396,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,267 : 265,266 = 265,266 : x
  2. Step 2: Convert to fraction form
    177,267/265,266 = 265,266/x
  3. Step 3: Cross multiply
    177,267x = 265,266 × 265,266
  4. Step 4: Simplify right side
    177,267x = 70,366,050,756
  5. Step 5: Solve for x
    x = 70,366,050,756/177,267
  6. Step 6: Final answer
    x = 396,949.52

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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.