Finding the Third Proportional to 103.50 and 226.50
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Solution
The third proportional to 103.50 and 226.50 is: 495.67
Step by Step Solution
- Step 1: Write the proportion equation
103.50 : 226.50 = 226.50 : x - Step 2: Convert to fraction form
103.50/226.50 = 226.50/x - Step 3: Cross multiply
103.50x = 226.50 × 226.50 - Step 4: Simplify right side
103.50x = 51,302.25 - Step 5: Solve for x
x = 51,302.25/103.50 - Step 6: Final answer
x = 495.67
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.