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Finding the Third Proportional to 255.38 and 272.25

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Solution

The third proportional to 255.38 and 272.25 is: 290.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.38 : 272.25 = 272.25 : x
  2. Step 2: Convert to fraction form
    255.38/272.25 = 272.25/x
  3. Step 3: Cross multiply
    255.38x = 272.25 × 272.25
  4. Step 4: Simplify right side
    255.38x = 74,120.06
  5. Step 5: Solve for x
    x = 74,120.06/255.38
  6. Step 6: Final answer
    x = 290.24

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.