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Finding the Third Proportional to 109.75 and 254.13

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Solution

The third proportional to 109.75 and 254.13 is: 588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 254.13 = 254.13 : x
  2. Step 2: Convert to fraction form
    109.75/254.13 = 254.13/x
  3. Step 3: Cross multiply
    109.75x = 254.13 × 254.13
  4. Step 4: Simplify right side
    109.75x = 64,579.52
  5. Step 5: Solve for x
    x = 64,579.52/109.75
  6. Step 6: Final answer
    x = 588.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.