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Finding the Third Proportional to 193.94 and 400.84

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Solution

The third proportional to 193.94 and 400.84 is: 828.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.94 : 400.84 = 400.84 : x
  2. Step 2: Convert to fraction form
    193.94/400.84 = 400.84/x
  3. Step 3: Cross multiply
    193.94x = 400.84 × 400.84
  4. Step 4: Simplify right side
    193.94x = 160,675.71
  5. Step 5: Solve for x
    x = 160,675.71/193.94
  6. Step 6: Final answer
    x = 828.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.