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Finding the Third Proportional to 143.56 and 316.94

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Solution

The third proportional to 143.56 and 316.94 is: 699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.56 : 316.94 = 316.94 : x
  2. Step 2: Convert to fraction form
    143.56/316.94 = 316.94/x
  3. Step 3: Cross multiply
    143.56x = 316.94 × 316.94
  4. Step 4: Simplify right side
    143.56x = 100,449.38
  5. Step 5: Solve for x
    x = 100,449.38/143.56
  6. Step 6: Final answer
    x = 699.69

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.