Finding the Third Proportional to 274.50 and 596.25
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Solution
The third proportional to 274.50 and 596.25 is: 1,295.13
Step by Step Solution
- Step 1: Write the proportion equation
274.50 : 596.25 = 596.25 : x - Step 2: Convert to fraction form
274.50/596.25 = 596.25/x - Step 3: Cross multiply
274.50x = 596.25 × 596.25 - Step 4: Simplify right side
274.50x = 355,514.06 - Step 5: Solve for x
x = 355,514.06/274.50 - Step 6: Final answer
x = 1,295.13
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.