Finding the Third Proportional to 261 and 280.50
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Solution
The third proportional to 261 and 280.50 is: 301.46
Step by Step Solution
- Step 1: Write the proportion equation
261 : 280.50 = 280.50 : x - Step 2: Convert to fraction form
261/280.50 = 280.50/x - Step 3: Cross multiply
261x = 280.50 × 280.50 - Step 4: Simplify right side
261x = 78,680.25 - Step 5: Solve for x
x = 78,680.25/261 - Step 6: Final answer
x = 301.46
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.