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Finding the Third Proportional to 171,408.38 and 369,157.31

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Solution

The third proportional to 171,408.38 and 369,157.31 is: 795,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,408.38 : 369,157.31 = 369,157.31 : x
  2. Step 2: Convert to fraction form
    171,408.38/369,157.31 = 369,157.31/x
  3. Step 3: Cross multiply
    171,408.38x = 369,157.31 × 369,157.31
  4. Step 4: Simplify right side
    171,408.38x = 136,277,121,372.22
  5. Step 5: Solve for x
    x = 136,277,121,372.22/171,408.38
  6. Step 6: Final answer
    x = 795,043.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.