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Finding the Third Proportional to 119.11 and 256.01

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Solution

The third proportional to 119.11 and 256.01 is: 550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.11 : 256.01 = 256.01 : x
  2. Step 2: Convert to fraction form
    119.11/256.01 = 256.01/x
  3. Step 3: Cross multiply
    119.11x = 256.01 × 256.01
  4. Step 4: Simplify right side
    119.11x = 65,540.00
  5. Step 5: Solve for x
    x = 65,540.00/119.11
  6. Step 6: Final answer
    x = 550.25

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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.