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Finding the Third Proportional to 149,933.25 and 225,331.88

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Solution

The third proportional to 149,933.25 and 225,331.88 is: 338,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,933.25 : 225,331.88 = 225,331.88 : x
  2. Step 2: Convert to fraction form
    149,933.25/225,331.88 = 225,331.88/x
  3. Step 3: Cross multiply
    149,933.25x = 225,331.88 × 225,331.88
  4. Step 4: Simplify right side
    149,933.25x = 50,774,453,891.02
  5. Step 5: Solve for x
    x = 50,774,453,891.02/149,933.25
  6. Step 6: Final answer
    x = 338,647.06

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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.