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Finding the Third Proportional to 174.66 and 360.28

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Solution

The third proportional to 174.66 and 360.28 is: 743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.66 : 360.28 = 360.28 : x
  2. Step 2: Convert to fraction form
    174.66/360.28 = 360.28/x
  3. Step 3: Cross multiply
    174.66x = 360.28 × 360.28
  4. Step 4: Simplify right side
    174.66x = 129,802.58
  5. Step 5: Solve for x
    x = 129,802.58/174.66
  6. Step 6: Final answer
    x = 743.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.