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Finding the Third Proportional to 170,836 and 187,234

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Solution

The third proportional to 170,836 and 187,234 is: 205,205.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,836 : 187,234 = 187,234 : x
  2. Step 2: Convert to fraction form
    170,836/187,234 = 187,234/x
  3. Step 3: Cross multiply
    170,836x = 187,234 × 187,234
  4. Step 4: Simplify right side
    170,836x = 35,056,570,756
  5. Step 5: Solve for x
    x = 35,056,570,756/170,836
  6. Step 6: Final answer
    x = 205,205.99

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.