Finding the Third Proportional to 296 and 508
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Solution
The third proportional to 296 and 508 is: 871.84
Step by Step Solution
- Step 1: Write the proportion equation
296 : 508 = 508 : x - Step 2: Convert to fraction form
296/508 = 508/x - Step 3: Cross multiply
296x = 508 × 508 - Step 4: Simplify right side
296x = 258,064 - Step 5: Solve for x
x = 258,064/296 - Step 6: Final answer
x = 871.84
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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.