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Finding the Third Proportional to 181,964 and 395,008

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Solution

The third proportional to 181,964 and 395,008 is: 857,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,964 : 395,008 = 395,008 : x
  2. Step 2: Convert to fraction form
    181,964/395,008 = 395,008/x
  3. Step 3: Cross multiply
    181,964x = 395,008 × 395,008
  4. Step 4: Simplify right side
    181,964x = 156,031,320,064
  5. Step 5: Solve for x
    x = 156,031,320,064/181,964
  6. Step 6: Final answer
    x = 857,484.56

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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.