Finding the Third Proportional to 96.50 and 261.50
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Solution
The third proportional to 96.50 and 261.50 is: 708.62
Step by Step Solution
- Step 1: Write the proportion equation
96.50 : 261.50 = 261.50 : x - Step 2: Convert to fraction form
96.50/261.50 = 261.50/x - Step 3: Cross multiply
96.50x = 261.50 × 261.50 - Step 4: Simplify right side
96.50x = 68,382.25 - Step 5: Solve for x
x = 68,382.25/96.50 - Step 6: Final answer
x = 708.62
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Why These Related Problems?
These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.