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Finding the Third Proportional to 377.16 and 797.34

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Solution

The third proportional to 377.16 and 797.34 is: 1,685.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.16 : 797.34 = 797.34 : x
  2. Step 2: Convert to fraction form
    377.16/797.34 = 797.34/x
  3. Step 3: Cross multiply
    377.16x = 797.34 × 797.34
  4. Step 4: Simplify right side
    377.16x = 635,757.06
  5. Step 5: Solve for x
    x = 635,757.06/377.16
  6. Step 6: Final answer
    x = 1,685.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.