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Finding the Third Proportional to 150,904 and 327,768

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Solution

The third proportional to 150,904 and 327,768 is: 711,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,904 : 327,768 = 327,768 : x
  2. Step 2: Convert to fraction form
    150,904/327,768 = 327,768/x
  3. Step 3: Cross multiply
    150,904x = 327,768 × 327,768
  4. Step 4: Simplify right side
    150,904x = 107,431,861,824
  5. Step 5: Solve for x
    x = 107,431,861,824/150,904
  6. Step 6: Final answer
    x = 711,921.90

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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.