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Finding the Third Proportional to 368.75 and 863.38

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Solution

The third proportional to 368.75 and 863.38 is: 2,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.75 : 863.38 = 863.38 : x
  2. Step 2: Convert to fraction form
    368.75/863.38 = 863.38/x
  3. Step 3: Cross multiply
    368.75x = 863.38 × 863.38
  4. Step 4: Simplify right side
    368.75x = 745,416.39
  5. Step 5: Solve for x
    x = 745,416.39/368.75
  6. Step 6: Final answer
    x = 2,021.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.