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Finding the Third Proportional to 144.04 and 212.86

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Solution

The third proportional to 144.04 and 212.86 is: 314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.04 : 212.86 = 212.86 : x
  2. Step 2: Convert to fraction form
    144.04/212.86 = 212.86/x
  3. Step 3: Cross multiply
    144.04x = 212.86 × 212.86
  4. Step 4: Simplify right side
    144.04x = 45,310.36
  5. Step 5: Solve for x
    x = 45,310.36/144.04
  6. Step 6: Final answer
    x = 314.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.