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Finding the Third Proportional to 220,593.38 and 350,542.69

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Solution

The third proportional to 220,593.38 and 350,542.69 is: 557,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,593.38 : 350,542.69 = 350,542.69 : x
  2. Step 2: Convert to fraction form
    220,593.38/350,542.69 = 350,542.69/x
  3. Step 3: Cross multiply
    220,593.38x = 350,542.69 × 350,542.69
  4. Step 4: Simplify right side
    220,593.38x = 122,880,175,759.72
  5. Step 5: Solve for x
    x = 122,880,175,759.72/220,593.38
  6. Step 6: Final answer
    x = 557,043.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.