Finding the Third Proportional to 175 and 280.50
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Solution
The third proportional to 175 and 280.50 is: 449.60
Step by Step Solution
- Step 1: Write the proportion equation
175 : 280.50 = 280.50 : x - Step 2: Convert to fraction form
175/280.50 = 280.50/x - Step 3: Cross multiply
175x = 280.50 × 280.50 - Step 4: Simplify right side
175x = 78,680.25 - Step 5: Solve for x
x = 78,680.25/175 - Step 6: Final answer
x = 449.60
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Why These Related Problems?
These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.