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Finding the Third Proportional to 170,964 and 395,750

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Solution

The third proportional to 170,964 and 395,750 is: 916,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,964 : 395,750 = 395,750 : x
  2. Step 2: Convert to fraction form
    170,964/395,750 = 395,750/x
  3. Step 3: Cross multiply
    170,964x = 395,750 × 395,750
  4. Step 4: Simplify right side
    170,964x = 156,618,062,500
  5. Step 5: Solve for x
    x = 156,618,062,500/170,964
  6. Step 6: Final answer
    x = 916,087.96

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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.