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Finding the Third Proportional to 181,652 and 395,998

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Solution

The third proportional to 181,652 and 395,998 is: 863,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,652 : 395,998 = 395,998 : x
  2. Step 2: Convert to fraction form
    181,652/395,998 = 395,998/x
  3. Step 3: Cross multiply
    181,652x = 395,998 × 395,998
  4. Step 4: Simplify right side
    181,652x = 156,814,416,004
  5. Step 5: Solve for x
    x = 156,814,416,004/181,652
  6. Step 6: Final answer
    x = 863,268.32

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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.