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Finding the Third Proportional to 1.00 and 2.56

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Solution

The third proportional to 1.00 and 2.56 is: 6.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.00 : 2.56 = 2.56 : x
  2. Step 2: Convert to fraction form
    1.00/2.56 = 2.56/x
  3. Step 3: Cross multiply
    1.00x = 2.56 × 2.56
  4. Step 4: Simplify right side
    1.00x = 6.56
  5. Step 5: Solve for x
    x = 6.56/1.00
  6. Step 6: Final answer
    x = 6.58

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.