Finding the Third Proportional to 176 and 194
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Solution
The third proportional to 176 and 194 is: 213.84
Step by Step Solution
- Step 1: Write the proportion equation
176 : 194 = 194 : x - Step 2: Convert to fraction form
176/194 = 194/x - Step 3: Cross multiply
176x = 194 × 194 - Step 4: Simplify right side
176x = 37,636 - Step 5: Solve for x
x = 37,636/176 - Step 6: Final answer
x = 213.84
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.