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Finding the Third Proportional to 166.36 and 360.84

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Solution

The third proportional to 166.36 and 360.84 is: 782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 360.84 = 360.84 : x
  2. Step 2: Convert to fraction form
    166.36/360.84 = 360.84/x
  3. Step 3: Cross multiply
    166.36x = 360.84 × 360.84
  4. Step 4: Simplify right side
    166.36x = 130,208.21
  5. Step 5: Solve for x
    x = 130,208.21/166.36
  6. Step 6: Final answer
    x = 782.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.