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Finding the Third Proportional to 149,719.50 and 225,186.75

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Solution

The third proportional to 149,719.50 and 225,186.75 is: 338,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.50 : 225,186.75 = 225,186.75 : x
  2. Step 2: Convert to fraction form
    149,719.50/225,186.75 = 225,186.75/x
  3. Step 3: Cross multiply
    149,719.50x = 225,186.75 × 225,186.75
  4. Step 4: Simplify right side
    149,719.50x = 50,709,072,375.56
  5. Step 5: Solve for x
    x = 50,709,072,375.56/149,719.50
  6. Step 6: Final answer
    x = 338,693.84

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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.