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Finding the Third Proportional to 150,910 and 327,820

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Solution

The third proportional to 150,910 and 327,820 is: 712,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,910 : 327,820 = 327,820 : x
  2. Step 2: Convert to fraction form
    150,910/327,820 = 327,820/x
  3. Step 3: Cross multiply
    150,910x = 327,820 × 327,820
  4. Step 4: Simplify right side
    150,910x = 107,465,952,400
  5. Step 5: Solve for x
    x = 107,465,952,400/150,910
  6. Step 6: Final answer
    x = 712,119.49

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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.