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Finding the Third Proportional to 255 and 361.75

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Solution

The third proportional to 255 and 361.75 is: 513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255 : 361.75 = 361.75 : x
  2. Step 2: Convert to fraction form
    255/361.75 = 361.75/x
  3. Step 3: Cross multiply
    255x = 361.75 × 361.75
  4. Step 4: Simplify right side
    255x = 130,863.06
  5. Step 5: Solve for x
    x = 130,863.06/255
  6. Step 6: Final answer
    x = 513.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.