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Finding the Third Proportional to 150,466 and 327,172

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Solution

The third proportional to 150,466 and 327,172 is: 711,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,466 : 327,172 = 327,172 : x
  2. Step 2: Convert to fraction form
    150,466/327,172 = 327,172/x
  3. Step 3: Cross multiply
    150,466x = 327,172 × 327,172
  4. Step 4: Simplify right side
    150,466x = 107,041,517,584
  5. Step 5: Solve for x
    x = 107,041,517,584/150,466
  6. Step 6: Final answer
    x = 711,400.03

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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.