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Finding the Third Proportional to 166.88 and 338.63

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Solution

The third proportional to 166.88 and 338.63 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.88 : 338.63 = 338.63 : x
  2. Step 2: Convert to fraction form
    166.88/338.63 = 338.63/x
  3. Step 3: Cross multiply
    166.88x = 338.63 × 338.63
  4. Step 4: Simplify right side
    166.88x = 114,666.89
  5. Step 5: Solve for x
    x = 114,666.89/166.88
  6. Step 6: Final answer
    x = 687.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.