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Finding the Third Proportional to 0.19 and 0.40

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Solution

The third proportional to 0.19 and 0.40 is: 0.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.19 : 0.40 = 0.40 : x
  2. Step 2: Convert to fraction form
    0.19/0.40 = 0.40/x
  3. Step 3: Cross multiply
    0.19x = 0.40 × 0.40
  4. Step 4: Simplify right side
    0.19x = 0.16
  5. Step 5: Solve for x
    x = 0.16/0.19
  6. Step 6: Final answer
    x = 0.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.