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Finding the Third Proportional to 174,375.75 and 246,809.50

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Solution

The third proportional to 174,375.75 and 246,809.50 is: 349,331.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,375.75 : 246,809.50 = 246,809.50 : x
  2. Step 2: Convert to fraction form
    174,375.75/246,809.50 = 246,809.50/x
  3. Step 3: Cross multiply
    174,375.75x = 246,809.50 × 246,809.50
  4. Step 4: Simplify right side
    174,375.75x = 60,914,929,290.25
  5. Step 5: Solve for x
    x = 60,914,929,290.25/174,375.75
  6. Step 6: Final answer
    x = 349,331.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.