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Finding the Third Proportional to 231,424.50 and 350,039.25

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Solution

The third proportional to 231,424.50 and 350,039.25 is: 529,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,424.50 : 350,039.25 = 350,039.25 : x
  2. Step 2: Convert to fraction form
    231,424.50/350,039.25 = 350,039.25/x
  3. Step 3: Cross multiply
    231,424.50x = 350,039.25 × 350,039.25
  4. Step 4: Simplify right side
    231,424.50x = 122,527,476,540.56
  5. Step 5: Solve for x
    x = 122,527,476,540.56/231,424.50
  6. Step 6: Final answer
    x = 529,449.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.