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Finding the Third Proportional to 171,035 and 395,903

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Solution

The third proportional to 171,035 and 395,903 is: 916,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,035 : 395,903 = 395,903 : x
  2. Step 2: Convert to fraction form
    171,035/395,903 = 395,903/x
  3. Step 3: Cross multiply
    171,035x = 395,903 × 395,903
  4. Step 4: Simplify right side
    171,035x = 156,739,185,409
  5. Step 5: Solve for x
    x = 156,739,185,409/171,035
  6. Step 6: Final answer
    x = 916,415.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.