Finding the Third Proportional to 296 and 510
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Solution
The third proportional to 296 and 510 is: 878.72
Step by Step Solution
- Step 1: Write the proportion equation
296 : 510 = 510 : x - Step 2: Convert to fraction form
296/510 = 510/x - Step 3: Cross multiply
296x = 510 × 510 - Step 4: Simplify right side
296x = 260,100 - Step 5: Solve for x
x = 260,100/296 - Step 6: Final answer
x = 878.72
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Why These Related Problems?
These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.