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Finding the Third Proportional to 170.16 and 367.31

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Solution

The third proportional to 170.16 and 367.31 is: 792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.16 : 367.31 = 367.31 : x
  2. Step 2: Convert to fraction form
    170.16/367.31 = 367.31/x
  3. Step 3: Cross multiply
    170.16x = 367.31 × 367.31
  4. Step 4: Simplify right side
    170.16x = 134,918.47
  5. Step 5: Solve for x
    x = 134,918.47/170.16
  6. Step 6: Final answer
    x = 792.91

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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.