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Finding the Third Proportional to 150,850 and 223,667

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Solution

The third proportional to 150,850 and 223,667 is: 331,633.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,850 : 223,667 = 223,667 : x
  2. Step 2: Convert to fraction form
    150,850/223,667 = 223,667/x
  3. Step 3: Cross multiply
    150,850x = 223,667 × 223,667
  4. Step 4: Simplify right side
    150,850x = 50,026,926,889
  5. Step 5: Solve for x
    x = 50,026,926,889/150,850
  6. Step 6: Final answer
    x = 331,633.59

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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.