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Finding the Third Proportional to 151,208 and 331,360

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Solution

The third proportional to 151,208 and 331,360 is: 726,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,208 : 331,360 = 331,360 : x
  2. Step 2: Convert to fraction form
    151,208/331,360 = 331,360/x
  3. Step 3: Cross multiply
    151,208x = 331,360 × 331,360
  4. Step 4: Simplify right side
    151,208x = 109,799,449,600
  5. Step 5: Solve for x
    x = 109,799,449,600/151,208
  6. Step 6: Final answer
    x = 726,148.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.