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Finding the Third Proportional to 171,022.75 and 395,873.13

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Solution

The third proportional to 171,022.75 and 395,873.13 is: 916,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,022.75 : 395,873.13 = 395,873.13 : x
  2. Step 2: Convert to fraction form
    171,022.75/395,873.13 = 395,873.13/x
  3. Step 3: Cross multiply
    171,022.75x = 395,873.13 × 395,873.13
  4. Step 4: Simplify right side
    171,022.75x = 156,715,531,097.27
  5. Step 5: Solve for x
    x = 156,715,531,097.27/171,022.75
  6. Step 6: Final answer
    x = 916,343.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.