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Finding the Third Proportional to 177,660.50 and 265,647

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Solution

The third proportional to 177,660.50 and 265,647 is: 397,208.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,660.50 : 265,647 = 265,647 : x
  2. Step 2: Convert to fraction form
    177,660.50/265,647 = 265,647/x
  3. Step 3: Cross multiply
    177,660.50x = 265,647 × 265,647
  4. Step 4: Simplify right side
    177,660.50x = 70,568,328,609
  5. Step 5: Solve for x
    x = 70,568,328,609/177,660.50
  6. Step 6: Final answer
    x = 397,208.88

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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.