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Finding the Third Proportional to 171,600 and 372,744

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Solution

The third proportional to 171,600 and 372,744 is: 809,662.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,600 : 372,744 = 372,744 : x
  2. Step 2: Convert to fraction form
    171,600/372,744 = 372,744/x
  3. Step 3: Cross multiply
    171,600x = 372,744 × 372,744
  4. Step 4: Simplify right side
    171,600x = 138,938,089,536
  5. Step 5: Solve for x
    x = 138,938,089,536/171,600
  6. Step 6: Final answer
    x = 809,662.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.