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Finding the Third Proportional to 185,958 and 395,172

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Solution

The third proportional to 185,958 and 395,172 is: 839,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,958 : 395,172 = 395,172 : x
  2. Step 2: Convert to fraction form
    185,958/395,172 = 395,172/x
  3. Step 3: Cross multiply
    185,958x = 395,172 × 395,172
  4. Step 4: Simplify right side
    185,958x = 156,160,909,584
  5. Step 5: Solve for x
    x = 156,160,909,584/185,958
  6. Step 6: Final answer
    x = 839,764.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.