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Finding the Third Proportional to 150,426 and 327,836

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Solution

The third proportional to 150,426 and 327,836 is: 714,480.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,426 : 327,836 = 327,836 : x
  2. Step 2: Convert to fraction form
    150,426/327,836 = 327,836/x
  3. Step 3: Cross multiply
    150,426x = 327,836 × 327,836
  4. Step 4: Simplify right side
    150,426x = 107,476,442,896
  5. Step 5: Solve for x
    x = 107,476,442,896/150,426
  6. Step 6: Final answer
    x = 714,480.49

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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.