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Finding the Third Proportional to 170,965 and 395,753

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Solution

The third proportional to 170,965 and 395,753 is: 916,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,965 : 395,753 = 395,753 : x
  2. Step 2: Convert to fraction form
    170,965/395,753 = 395,753/x
  3. Step 3: Cross multiply
    170,965x = 395,753 × 395,753
  4. Step 4: Simplify right side
    170,965x = 156,620,437,009
  5. Step 5: Solve for x
    x = 156,620,437,009/170,965
  6. Step 6: Final answer
    x = 916,096.49

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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.