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Finding the Third Proportional to 91.94 and 186.25

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Solution

The third proportional to 91.94 and 186.25 is: 377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.94 : 186.25 = 186.25 : x
  2. Step 2: Convert to fraction form
    91.94/186.25 = 186.25/x
  3. Step 3: Cross multiply
    91.94x = 186.25 × 186.25
  4. Step 4: Simplify right side
    91.94x = 34,689.06
  5. Step 5: Solve for x
    x = 34,689.06/91.94
  6. Step 6: Final answer
    x = 377.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.