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Finding the Third Proportional to 150,842 and 331,816

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Solution

The third proportional to 150,842 and 331,816 is: 729,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,842 : 331,816 = 331,816 : x
  2. Step 2: Convert to fraction form
    150,842/331,816 = 331,816/x
  3. Step 3: Cross multiply
    150,842x = 331,816 × 331,816
  4. Step 4: Simplify right side
    150,842x = 110,101,857,856
  5. Step 5: Solve for x
    x = 110,101,857,856/150,842
  6. Step 6: Final answer
    x = 729,915.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.