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Finding the Third Proportional to 150,854 and 223,669

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Solution

The third proportional to 150,854 and 223,669 is: 331,630.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,854 : 223,669 = 223,669 : x
  2. Step 2: Convert to fraction form
    150,854/223,669 = 223,669/x
  3. Step 3: Cross multiply
    150,854x = 223,669 × 223,669
  4. Step 4: Simplify right side
    150,854x = 50,027,821,561
  5. Step 5: Solve for x
    x = 50,027,821,561/150,854
  6. Step 6: Final answer
    x = 331,630.73

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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.