Finding the Third Proportional to 92 and 200
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Solution
The third proportional to 92 and 200 is: 434.78
Step by Step Solution
- Step 1: Write the proportion equation
92 : 200 = 200 : x - Step 2: Convert to fraction form
92/200 = 200/x - Step 3: Cross multiply
92x = 200 × 200 - Step 4: Simplify right side
92x = 40,000 - Step 5: Solve for x
x = 40,000/92 - Step 6: Final answer
x = 434.78
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.