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Finding the Third Proportional to 144.28 and 211.36

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Solution

The third proportional to 144.28 and 211.36 is: 309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 211.36 = 211.36 : x
  2. Step 2: Convert to fraction form
    144.28/211.36 = 211.36/x
  3. Step 3: Cross multiply
    144.28x = 211.36 × 211.36
  4. Step 4: Simplify right side
    144.28x = 44,672.79
  5. Step 5: Solve for x
    x = 44,672.79/144.28
  6. Step 6: Final answer
    x = 309.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.