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Finding the Third Proportional to 171,037 and 395,908

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Solution

The third proportional to 171,037 and 395,908 is: 916,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,037 : 395,908 = 395,908 : x
  2. Step 2: Convert to fraction form
    171,037/395,908 = 395,908/x
  3. Step 3: Cross multiply
    171,037x = 395,908 × 395,908
  4. Step 4: Simplify right side
    171,037x = 156,743,144,464
  5. Step 5: Solve for x
    x = 156,743,144,464/171,037
  6. Step 6: Final answer
    x = 916,428.28

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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.