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Finding the Third Proportional to 168.33 and 358.17

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Solution

The third proportional to 168.33 and 358.17 is: 762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.33 : 358.17 = 358.17 : x
  2. Step 2: Convert to fraction form
    168.33/358.17 = 358.17/x
  3. Step 3: Cross multiply
    168.33x = 358.17 × 358.17
  4. Step 4: Simplify right side
    168.33x = 128,287.09
  5. Step 5: Solve for x
    x = 128,287.09/168.33
  6. Step 6: Final answer
    x = 762.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.