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Finding the Third Proportional to 166.48 and 247.99

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Solution

The third proportional to 166.48 and 247.99 is: 369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.48 : 247.99 = 247.99 : x
  2. Step 2: Convert to fraction form
    166.48/247.99 = 247.99/x
  3. Step 3: Cross multiply
    166.48x = 247.99 × 247.99
  4. Step 4: Simplify right side
    166.48x = 61,500.13
  5. Step 5: Solve for x
    x = 61,500.13/166.48
  6. Step 6: Final answer
    x = 369.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.