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Finding the Third Proportional to 189.84 and 388.13

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Solution

The third proportional to 189.84 and 388.13 is: 793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.84 : 388.13 = 388.13 : x
  2. Step 2: Convert to fraction form
    189.84/388.13 = 388.13/x
  3. Step 3: Cross multiply
    189.84x = 388.13 × 388.13
  4. Step 4: Simplify right side
    189.84x = 150,641.02
  5. Step 5: Solve for x
    x = 150,641.02/189.84
  6. Step 6: Final answer
    x = 793.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.