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Finding the Third Proportional to 363.94 and 860.34

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Solution

The third proportional to 363.94 and 860.34 is: 2,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.94 : 860.34 = 860.34 : x
  2. Step 2: Convert to fraction form
    363.94/860.34 = 860.34/x
  3. Step 3: Cross multiply
    363.94x = 860.34 × 860.34
  4. Step 4: Simplify right side
    363.94x = 740,191.37
  5. Step 5: Solve for x
    x = 740,191.37/363.94
  6. Step 6: Final answer
    x = 2,033.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.