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Finding the Third Proportional to 150,144 and 327,072

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Solution

The third proportional to 150,144 and 327,072 is: 712,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,144 : 327,072 = 327,072 : x
  2. Step 2: Convert to fraction form
    150,144/327,072 = 327,072/x
  3. Step 3: Cross multiply
    150,144x = 327,072 × 327,072
  4. Step 4: Simplify right side
    150,144x = 106,976,093,184
  5. Step 5: Solve for x
    x = 106,976,093,184/150,144
  6. Step 6: Final answer
    x = 712,489.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.