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Finding the Third Proportional to 177,342.75 and 265,366.13

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Solution

The third proportional to 177,342.75 and 265,366.13 is: 397,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,342.75 : 265,366.13 = 265,366.13 : x
  2. Step 2: Convert to fraction form
    177,342.75/265,366.13 = 265,366.13/x
  3. Step 3: Cross multiply
    177,342.75x = 265,366.13 × 265,366.13
  4. Step 4: Simplify right side
    177,342.75x = 70,419,180,297.52
  5. Step 5: Solve for x
    x = 70,419,180,297.52/177,342.75
  6. Step 6: Final answer
    x = 397,079.56

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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.