Finding the Third Proportional to 281 and 509.50
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Solution
The third proportional to 281 and 509.50 is: 923.81
Step by Step Solution
- Step 1: Write the proportion equation
281 : 509.50 = 509.50 : x - Step 2: Convert to fraction form
281/509.50 = 509.50/x - Step 3: Cross multiply
281x = 509.50 × 509.50 - Step 4: Simplify right side
281x = 259,590.25 - Step 5: Solve for x
x = 259,590.25/281 - Step 6: Final answer
x = 923.81
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Why These Related Problems?
These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.