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Finding the Third Proportional to 193.43 and 406.05

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Solution

The third proportional to 193.43 and 406.05 is: 852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.43 : 406.05 = 406.05 : x
  2. Step 2: Convert to fraction form
    193.43/406.05 = 406.05/x
  3. Step 3: Cross multiply
    193.43x = 406.05 × 406.05
  4. Step 4: Simplify right side
    193.43x = 164,880.41
  5. Step 5: Solve for x
    x = 164,880.41/193.43
  6. Step 6: Final answer
    x = 852.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.