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Finding the Third Proportional to 181,854 and 395,185.13

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Solution

The third proportional to 181,854 and 395,185.13 is: 858,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,854 : 395,185.13 = 395,185.13 : x
  2. Step 2: Convert to fraction form
    181,854/395,185.13 = 395,185.13/x
  3. Step 3: Cross multiply
    181,854x = 395,185.13 × 395,185.13
  4. Step 4: Simplify right side
    181,854x = 156,171,283,021.27
  5. Step 5: Solve for x
    x = 156,171,283,021.27/181,854
  6. Step 6: Final answer
    x = 858,772.88

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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.