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Finding the Third Proportional to 1.43 and 1.85

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Solution

The third proportional to 1.43 and 1.85 is: 2.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.43 : 1.85 = 1.85 : x
  2. Step 2: Convert to fraction form
    1.43/1.85 = 1.85/x
  3. Step 3: Cross multiply
    1.43x = 1.85 × 1.85
  4. Step 4: Simplify right side
    1.43x = 3.43
  5. Step 5: Solve for x
    x = 3.43/1.43
  6. Step 6: Final answer
    x = 2.41

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.