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Finding the Third Proportional to 170,968 and 395,760

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Solution

The third proportional to 170,968 and 395,760 is: 916,112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,968 : 395,760 = 395,760 : x
  2. Step 2: Convert to fraction form
    170,968/395,760 = 395,760/x
  3. Step 3: Cross multiply
    170,968x = 395,760 × 395,760
  4. Step 4: Simplify right side
    170,968x = 156,625,977,600
  5. Step 5: Solve for x
    x = 156,625,977,600/170,968
  6. Step 6: Final answer
    x = 916,112.83

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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.