Finding the Third Proportional to 259 and 281.50
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Solution
The third proportional to 259 and 281.50 is: 305.95
Step by Step Solution
- Step 1: Write the proportion equation
259 : 281.50 = 281.50 : x - Step 2: Convert to fraction form
259/281.50 = 281.50/x - Step 3: Cross multiply
259x = 281.50 × 281.50 - Step 4: Simplify right side
259x = 79,242.25 - Step 5: Solve for x
x = 79,242.25/259 - Step 6: Final answer
x = 305.95
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.