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Finding the Third Proportional to 152,625 and 331,523.25

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Solution

The third proportional to 152,625 and 331,523.25 is: 720,115.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,625 : 331,523.25 = 331,523.25 : x
  2. Step 2: Convert to fraction form
    152,625/331,523.25 = 331,523.25/x
  3. Step 3: Cross multiply
    152,625x = 331,523.25 × 331,523.25
  4. Step 4: Simplify right side
    152,625x = 109,907,665,290.56
  5. Step 5: Solve for x
    x = 109,907,665,290.56/152,625
  6. Step 6: Final answer
    x = 720,115.74

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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.