Finding the Third Proportional to 296 and 322
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Solution
The third proportional to 296 and 322 is: 350.28
Step by Step Solution
- Step 1: Write the proportion equation
296 : 322 = 322 : x - Step 2: Convert to fraction form
296/322 = 322/x - Step 3: Cross multiply
296x = 322 × 322 - Step 4: Simplify right side
296x = 103,684 - Step 5: Solve for x
x = 103,684/296 - Step 6: Final answer
x = 350.28
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.