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Finding the Third Proportional to 143.88 and 313.94

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Solution

The third proportional to 143.88 and 313.94 is: 685.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.88 : 313.94 = 313.94 : x
  2. Step 2: Convert to fraction form
    143.88/313.94 = 313.94/x
  3. Step 3: Cross multiply
    143.88x = 313.94 × 313.94
  4. Step 4: Simplify right side
    143.88x = 98,556.75
  5. Step 5: Solve for x
    x = 98,556.75/143.88
  6. Step 6: Final answer
    x = 685.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.