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Finding the Third Proportional to 258 and 367.75

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Solution

The third proportional to 258 and 367.75 is: 524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258 : 367.75 = 367.75 : x
  2. Step 2: Convert to fraction form
    258/367.75 = 367.75/x
  3. Step 3: Cross multiply
    258x = 367.75 × 367.75
  4. Step 4: Simplify right side
    258x = 135,240.06
  5. Step 5: Solve for x
    x = 135,240.06/258
  6. Step 6: Final answer
    x = 524.19

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.