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Finding the Third Proportional to 218,538 and 337,512

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Solution

The third proportional to 218,538 and 337,512 is: 521,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,538 : 337,512 = 337,512 : x
  2. Step 2: Convert to fraction form
    218,538/337,512 = 337,512/x
  3. Step 3: Cross multiply
    218,538x = 337,512 × 337,512
  4. Step 4: Simplify right side
    218,538x = 113,914,350,144
  5. Step 5: Solve for x
    x = 113,914,350,144/218,538
  6. Step 6: Final answer
    x = 521,256.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.