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Finding the Third Proportional to 367.35 and 800.19

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Solution

The third proportional to 367.35 and 800.19 is: 1,743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.35 : 800.19 = 800.19 : x
  2. Step 2: Convert to fraction form
    367.35/800.19 = 800.19/x
  3. Step 3: Cross multiply
    367.35x = 800.19 × 800.19
  4. Step 4: Simplify right side
    367.35x = 640,306.29
  5. Step 5: Solve for x
    x = 640,306.29/367.35
  6. Step 6: Final answer
    x = 1,743.05

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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.