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Finding the Third Proportional to 150,022.50 and 227,951.25

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Solution

The third proportional to 150,022.50 and 227,951.25 is: 346,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,022.50 : 227,951.25 = 227,951.25 : x
  2. Step 2: Convert to fraction form
    150,022.50/227,951.25 = 227,951.25/x
  3. Step 3: Cross multiply
    150,022.50x = 227,951.25 × 227,951.25
  4. Step 4: Simplify right side
    150,022.50x = 51,961,772,376.56
  5. Step 5: Solve for x
    x = 51,961,772,376.56/150,022.50
  6. Step 6: Final answer
    x = 346,359.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.