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Finding the Third Proportional to 151,920 and 331,175.25

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Solution

The third proportional to 151,920 and 331,175.25 is: 721,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,920 : 331,175.25 = 331,175.25 : x
  2. Step 2: Convert to fraction form
    151,920/331,175.25 = 331,175.25/x
  3. Step 3: Cross multiply
    151,920x = 331,175.25 × 331,175.25
  4. Step 4: Simplify right side
    151,920x = 109,677,046,212.56
  5. Step 5: Solve for x
    x = 109,677,046,212.56/151,920
  6. Step 6: Final answer
    x = 721,939.48

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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.