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Finding the Third Proportional to 171,716 and 372,016

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Solution

The third proportional to 171,716 and 372,016 is: 805,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,716 : 372,016 = 372,016 : x
  2. Step 2: Convert to fraction form
    171,716/372,016 = 372,016/x
  3. Step 3: Cross multiply
    171,716x = 372,016 × 372,016
  4. Step 4: Simplify right side
    171,716x = 138,395,904,256
  5. Step 5: Solve for x
    x = 138,395,904,256/171,716
  6. Step 6: Final answer
    x = 805,958.12

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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.