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Finding the Third Proportional to 150,558.75 and 225,858.38

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Solution

The third proportional to 150,558.75 and 225,858.38 is: 338,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,558.75 : 225,858.38 = 225,858.38 : x
  2. Step 2: Convert to fraction form
    150,558.75/225,858.38 = 225,858.38/x
  3. Step 3: Cross multiply
    150,558.75x = 225,858.38 × 225,858.38
  4. Step 4: Simplify right side
    150,558.75x = 51,012,005,557.64
  5. Step 5: Solve for x
    x = 51,012,005,557.64/150,558.75
  6. Step 6: Final answer
    x = 338,817.94

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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.