Finding the Third Proportional to 296 and 505
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Solution
The third proportional to 296 and 505 is: 861.57
Step by Step Solution
- Step 1: Write the proportion equation
296 : 505 = 505 : x - Step 2: Convert to fraction form
296/505 = 505/x - Step 3: Cross multiply
296x = 505 × 505 - Step 4: Simplify right side
296x = 255,025 - Step 5: Solve for x
x = 255,025/296 - Step 6: Final answer
x = 861.57
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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.