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Finding the Third Proportional to 150,730 and 327,667

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Solution

The third proportional to 150,730 and 327,667 is: 712,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,730 : 327,667 = 327,667 : x
  2. Step 2: Convert to fraction form
    150,730/327,667 = 327,667/x
  3. Step 3: Cross multiply
    150,730x = 327,667 × 327,667
  4. Step 4: Simplify right side
    150,730x = 107,365,662,889
  5. Step 5: Solve for x
    x = 107,365,662,889/150,730
  6. Step 6: Final answer
    x = 712,304.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.