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Finding the Third Proportional to 241,375.50 and 337,618.50

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Solution

The third proportional to 241,375.50 and 337,618.50 is: 472,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,375.50 : 337,618.50 = 337,618.50 : x
  2. Step 2: Convert to fraction form
    241,375.50/337,618.50 = 337,618.50/x
  3. Step 3: Cross multiply
    241,375.50x = 337,618.50 × 337,618.50
  4. Step 4: Simplify right side
    241,375.50x = 113,986,251,542.25
  5. Step 5: Solve for x
    x = 113,986,251,542.25/241,375.50
  6. Step 6: Final answer
    x = 472,236.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.