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Finding the Third Proportional to 248,754.50 and 394,524.50

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Solution

The third proportional to 248,754.50 and 394,524.50 is: 625,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,754.50 : 394,524.50 = 394,524.50 : x
  2. Step 2: Convert to fraction form
    248,754.50/394,524.50 = 394,524.50/x
  3. Step 3: Cross multiply
    248,754.50x = 394,524.50 × 394,524.50
  4. Step 4: Simplify right side
    248,754.50x = 155,649,581,100.25
  5. Step 5: Solve for x
    x = 155,649,581,100.25/248,754.50
  6. Step 6: Final answer
    x = 625,715.64

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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.