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Finding the Third Proportional to 150,850 and 223,663

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Solution

The third proportional to 150,850 and 223,663 is: 331,621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,850 : 223,663 = 223,663 : x
  2. Step 2: Convert to fraction form
    150,850/223,663 = 223,663/x
  3. Step 3: Cross multiply
    150,850x = 223,663 × 223,663
  4. Step 4: Simplify right side
    150,850x = 50,025,137,569
  5. Step 5: Solve for x
    x = 50,025,137,569/150,850
  6. Step 6: Final answer
    x = 331,621.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.