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Finding the Third Proportional to 150,105.50 and 228,251.50

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Solution

The third proportional to 150,105.50 and 228,251.50 is: 347,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,105.50 : 228,251.50 = 228,251.50 : x
  2. Step 2: Convert to fraction form
    150,105.50/228,251.50 = 228,251.50/x
  3. Step 3: Cross multiply
    150,105.50x = 228,251.50 × 228,251.50
  4. Step 4: Simplify right side
    150,105.50x = 52,098,747,252.25
  5. Step 5: Solve for x
    x = 52,098,747,252.25/150,105.50
  6. Step 6: Final answer
    x = 347,080.87

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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.