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Finding the Third Proportional to 106.13 and 256.88

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Solution

The third proportional to 106.13 and 256.88 is: 621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 256.88 = 256.88 : x
  2. Step 2: Convert to fraction form
    106.13/256.88 = 256.88/x
  3. Step 3: Cross multiply
    106.13x = 256.88 × 256.88
  4. Step 4: Simplify right side
    106.13x = 65,984.77
  5. Step 5: Solve for x
    x = 65,984.77/106.13
  6. Step 6: Final answer
    x = 621.76

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.