Finding the Third Proportional to 300 and 364
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Solution
The third proportional to 300 and 364 is: 441.65
Step by Step Solution
- Step 1: Write the proportion equation
300 : 364 = 364 : x - Step 2: Convert to fraction form
300/364 = 364/x - Step 3: Cross multiply
300x = 364 × 364 - Step 4: Simplify right side
300x = 132,496 - Step 5: Solve for x
x = 132,496/300 - Step 6: Final answer
x = 441.65
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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.