Finding the Third Proportional to 119 and 194
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Solution
The third proportional to 119 and 194 is: 316.27
Step by Step Solution
- Step 1: Write the proportion equation
119 : 194 = 194 : x - Step 2: Convert to fraction form
119/194 = 194/x - Step 3: Cross multiply
119x = 194 × 194 - Step 4: Simplify right side
119x = 37,636 - Step 5: Solve for x
x = 37,636/119 - Step 6: Final answer
x = 316.27
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.