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Finding the Third Proportional to 177,257.25 and 266,015.25

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Solution

The third proportional to 177,257.25 and 266,015.25 is: 399,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,257.25 : 266,015.25 = 266,015.25 : x
  2. Step 2: Convert to fraction form
    177,257.25/266,015.25 = 266,015.25/x
  3. Step 3: Cross multiply
    177,257.25x = 266,015.25 × 266,015.25
  4. Step 4: Simplify right side
    177,257.25x = 70,764,113,232.56
  5. Step 5: Solve for x
    x = 70,764,113,232.56/177,257.25
  6. Step 6: Final answer
    x = 399,217.03

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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.