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Finding the Third Proportional to 181,646 and 395,986

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Solution

The third proportional to 181,646 and 395,986 is: 863,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,646 : 395,986 = 395,986 : x
  2. Step 2: Convert to fraction form
    181,646/395,986 = 395,986/x
  3. Step 3: Cross multiply
    181,646x = 395,986 × 395,986
  4. Step 4: Simplify right side
    181,646x = 156,804,912,196
  5. Step 5: Solve for x
    x = 156,804,912,196/181,646
  6. Step 6: Final answer
    x = 863,244.51

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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.