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Finding the Third Proportional to 275.51 and 365.21

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Solution

The third proportional to 275.51 and 365.21 is: 484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.51 : 365.21 = 365.21 : x
  2. Step 2: Convert to fraction form
    275.51/365.21 = 365.21/x
  3. Step 3: Cross multiply
    275.51x = 365.21 × 365.21
  4. Step 4: Simplify right side
    275.51x = 133,379.74
  5. Step 5: Solve for x
    x = 133,379.74/275.51
  6. Step 6: Final answer
    x = 484.12

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.