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Finding the Third Proportional to 166.22 and 359.02

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Solution

The third proportional to 166.22 and 359.02 is: 775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.22 : 359.02 = 359.02 : x
  2. Step 2: Convert to fraction form
    166.22/359.02 = 359.02/x
  3. Step 3: Cross multiply
    166.22x = 359.02 × 359.02
  4. Step 4: Simplify right side
    166.22x = 128,892.22
  5. Step 5: Solve for x
    x = 128,892.22/166.22
  6. Step 6: Final answer
    x = 775.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.