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Finding the Third Proportional to 166.50 and 347.63

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Solution

The third proportional to 166.50 and 347.63 is: 725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 347.63 = 347.63 : x
  2. Step 2: Convert to fraction form
    166.50/347.63 = 347.63/x
  3. Step 3: Cross multiply
    166.50x = 347.63 × 347.63
  4. Step 4: Simplify right side
    166.50x = 120,843.14
  5. Step 5: Solve for x
    x = 120,843.14/166.50
  6. Step 6: Final answer
    x = 725.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.