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Finding the Third Proportional to 289.69 and 318.94

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Solution

The third proportional to 289.69 and 318.94 is: 351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 318.94 = 318.94 : x
  2. Step 2: Convert to fraction form
    289.69/318.94 = 318.94/x
  3. Step 3: Cross multiply
    289.69x = 318.94 × 318.94
  4. Step 4: Simplify right side
    289.69x = 101,721.13
  5. Step 5: Solve for x
    x = 101,721.13/289.69
  6. Step 6: Final answer
    x = 351.14

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.