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Finding the Third Proportional to 174.02 and 365.13

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Solution

The third proportional to 174.02 and 365.13 is: 766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 365.13 = 365.13 : x
  2. Step 2: Convert to fraction form
    174.02/365.13 = 365.13/x
  3. Step 3: Cross multiply
    174.02x = 365.13 × 365.13
  4. Step 4: Simplify right side
    174.02x = 133,321.97
  5. Step 5: Solve for x
    x = 133,321.97/174.02
  6. Step 6: Final answer
    x = 766.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.