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Finding the Third Proportional to 343.41 and 755.16

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Solution

The third proportional to 343.41 and 755.16 is: 1,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.41 : 755.16 = 755.16 : x
  2. Step 2: Convert to fraction form
    343.41/755.16 = 755.16/x
  3. Step 3: Cross multiply
    343.41x = 755.16 × 755.16
  4. Step 4: Simplify right side
    343.41x = 570,260.96
  5. Step 5: Solve for x
    x = 570,260.96/343.41
  6. Step 6: Final answer
    x = 1,660.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.