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Finding the Third Proportional to 170,750 and 283,144

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Solution

The third proportional to 170,750 and 283,144 is: 469,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,750 : 283,144 = 283,144 : x
  2. Step 2: Convert to fraction form
    170,750/283,144 = 283,144/x
  3. Step 3: Cross multiply
    170,750x = 283,144 × 283,144
  4. Step 4: Simplify right side
    170,750x = 80,170,524,736
  5. Step 5: Solve for x
    x = 80,170,524,736/170,750
  6. Step 6: Final answer
    x = 469,519.91

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.