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Finding the Third Proportional to 181,620 and 395,937

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Solution

The third proportional to 181,620 and 395,937 is: 863,154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,620 : 395,937 = 395,937 : x
  2. Step 2: Convert to fraction form
    181,620/395,937 = 395,937/x
  3. Step 3: Cross multiply
    181,620x = 395,937 × 395,937
  4. Step 4: Simplify right side
    181,620x = 156,766,107,969
  5. Step 5: Solve for x
    x = 156,766,107,969/181,620
  6. Step 6: Final answer
    x = 863,154.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.