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Finding the Third Proportional to 149,571.38 and 224,460.75

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Solution

The third proportional to 149,571.38 and 224,460.75 is: 336,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,571.38 : 224,460.75 = 224,460.75 : x
  2. Step 2: Convert to fraction form
    149,571.38/224,460.75 = 224,460.75/x
  3. Step 3: Cross multiply
    149,571.38x = 224,460.75 × 224,460.75
  4. Step 4: Simplify right side
    149,571.38x = 50,382,628,290.56
  5. Step 5: Solve for x
    x = 50,382,628,290.56/149,571.38
  6. Step 6: Final answer
    x = 336,846.73

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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.