Finding the Third Proportional to 296 and 364
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Solution
The third proportional to 296 and 364 is: 447.62
Step by Step Solution
- Step 1: Write the proportion equation
296 : 364 = 364 : x - Step 2: Convert to fraction form
296/364 = 364/x - Step 3: Cross multiply
296x = 364 × 364 - Step 4: Simplify right side
296x = 132,496 - Step 5: Solve for x
x = 132,496/296 - Step 6: Final answer
x = 447.62
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These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.