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Finding the Third Proportional to 150,703 and 204,667

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Solution

The third proportional to 150,703 and 204,667 is: 277,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,703 : 204,667 = 204,667 : x
  2. Step 2: Convert to fraction form
    150,703/204,667 = 204,667/x
  3. Step 3: Cross multiply
    150,703x = 204,667 × 204,667
  4. Step 4: Simplify right side
    150,703x = 41,888,580,889
  5. Step 5: Solve for x
    x = 41,888,580,889/150,703
  6. Step 6: Final answer
    x = 277,954.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.