Finding the Third Proportional to 363 and 427.50
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Solution
The third proportional to 363 and 427.50 is: 503.46
Step by Step Solution
- Step 1: Write the proportion equation
363 : 427.50 = 427.50 : x - Step 2: Convert to fraction form
363/427.50 = 427.50/x - Step 3: Cross multiply
363x = 427.50 × 427.50 - Step 4: Simplify right side
363x = 182,756.25 - Step 5: Solve for x
x = 182,756.25/363 - Step 6: Final answer
x = 503.46
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.