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Finding the Third Proportional to 152,801 and 331,874

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Solution

The third proportional to 152,801 and 331,874 is: 720,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,801 : 331,874 = 331,874 : x
  2. Step 2: Convert to fraction form
    152,801/331,874 = 331,874/x
  3. Step 3: Cross multiply
    152,801x = 331,874 × 331,874
  4. Step 4: Simplify right side
    152,801x = 110,140,351,876
  5. Step 5: Solve for x
    x = 110,140,351,876/152,801
  6. Step 6: Final answer
    x = 720,809.10

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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.