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Finding the Third Proportional to 181,644 and 395,984

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Solution

The third proportional to 181,644 and 395,984 is: 863,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,644 : 395,984 = 395,984 : x
  2. Step 2: Convert to fraction form
    181,644/395,984 = 395,984/x
  3. Step 3: Cross multiply
    181,644x = 395,984 × 395,984
  4. Step 4: Simplify right side
    181,644x = 156,803,328,256
  5. Step 5: Solve for x
    x = 156,803,328,256/181,644
  6. Step 6: Final answer
    x = 863,245.29

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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.