Finding the Third Proportional to 296 and 450
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Solution
The third proportional to 296 and 450 is: 684.12
Step by Step Solution
- Step 1: Write the proportion equation
296 : 450 = 450 : x - Step 2: Convert to fraction form
296/450 = 450/x - Step 3: Cross multiply
296x = 450 × 450 - Step 4: Simplify right side
296x = 202,500 - Step 5: Solve for x
x = 202,500/296 - Step 6: Final answer
x = 684.12
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.