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Finding the Third Proportional to 254.25 and 547.69

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Solution

The third proportional to 254.25 and 547.69 is: 1,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.25 : 547.69 = 547.69 : x
  2. Step 2: Convert to fraction form
    254.25/547.69 = 547.69/x
  3. Step 3: Cross multiply
    254.25x = 547.69 × 547.69
  4. Step 4: Simplify right side
    254.25x = 299,961.60
  5. Step 5: Solve for x
    x = 299,961.60/254.25
  6. Step 6: Final answer
    x = 1,179.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.