Finding the Third Proportional to 176 and 416
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Solution
The third proportional to 176 and 416 is: 983.27
Step by Step Solution
- Step 1: Write the proportion equation
176 : 416 = 416 : x - Step 2: Convert to fraction form
176/416 = 416/x - Step 3: Cross multiply
176x = 416 × 416 - Step 4: Simplify right side
176x = 173,056 - Step 5: Solve for x
x = 173,056/176 - Step 6: Final answer
x = 983.27
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.