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Finding the Third Proportional to 1.00 and 1.60

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Solution

The third proportional to 1.00 and 1.60 is: 2.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.00 : 1.60 = 1.60 : x
  2. Step 2: Convert to fraction form
    1.00/1.60 = 1.60/x
  3. Step 3: Cross multiply
    1.00x = 1.60 × 1.60
  4. Step 4: Simplify right side
    1.00x = 2.57
  5. Step 5: Solve for x
    x = 2.57/1.00
  6. Step 6: Final answer
    x = 2.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.