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Finding the Third Proportional to 115.75 and 289.38

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Solution

The third proportional to 115.75 and 289.38 is: 723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.75 : 289.38 = 289.38 : x
  2. Step 2: Convert to fraction form
    115.75/289.38 = 289.38/x
  3. Step 3: Cross multiply
    115.75x = 289.38 × 289.38
  4. Step 4: Simplify right side
    115.75x = 83,737.89
  5. Step 5: Solve for x
    x = 83,737.89/115.75
  6. Step 6: Final answer
    x = 723.44

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.