Finding the Third Proportional to 367 and 467
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Solution
The third proportional to 367 and 467 is: 594.25
Step by Step Solution
- Step 1: Write the proportion equation
367 : 467 = 467 : x - Step 2: Convert to fraction form
367/467 = 467/x - Step 3: Cross multiply
367x = 467 × 467 - Step 4: Simplify right side
367x = 218,089 - Step 5: Solve for x
x = 218,089/367 - Step 6: Final answer
x = 594.25
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.