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Finding the Third Proportional to 1.80 and 2

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Solution

The third proportional to 1.80 and 2 is: 2.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.80 : 2 = 2 : x
  2. Step 2: Convert to fraction form
    1.80/2 = 2/x
  3. Step 3: Cross multiply
    1.80x = 2 × 2
  4. Step 4: Simplify right side
    1.80x = 4
  5. Step 5: Solve for x
    x = 4/1.80
  6. Step 6: Final answer
    x = 2.23

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.