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Finding the Third Proportional to 143.94 and 314.22

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Solution

The third proportional to 143.94 and 314.22 is: 685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.94 : 314.22 = 314.22 : x
  2. Step 2: Convert to fraction form
    143.94/314.22 = 314.22/x
  3. Step 3: Cross multiply
    143.94x = 314.22 × 314.22
  4. Step 4: Simplify right side
    143.94x = 98,733.42
  5. Step 5: Solve for x
    x = 98,733.42/143.94
  6. Step 6: Final answer
    x = 685.95

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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.