Finding the Third Proportional to 150 and 386
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Solution
The third proportional to 150 and 386 is: 993.31
Step by Step Solution
- Step 1: Write the proportion equation
150 : 386 = 386 : x - Step 2: Convert to fraction form
150/386 = 386/x - Step 3: Cross multiply
150x = 386 × 386 - Step 4: Simplify right side
150x = 148,996 - Step 5: Solve for x
x = 148,996/150 - Step 6: Final answer
x = 993.31
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These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.