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Finding the Third Proportional to 106.13 and 256.22

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Solution

The third proportional to 106.13 and 256.22 is: 618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 256.22 = 256.22 : x
  2. Step 2: Convert to fraction form
    106.13/256.22 = 256.22/x
  3. Step 3: Cross multiply
    106.13x = 256.22 × 256.22
  4. Step 4: Simplify right side
    106.13x = 65,648.05
  5. Step 5: Solve for x
    x = 65,648.05/106.13
  6. Step 6: Final answer
    x = 618.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.