Finding the Third Proportional to 269.75 and 445.50
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Solution
The third proportional to 269.75 and 445.50 is: 735.76
Step by Step Solution
- Step 1: Write the proportion equation
269.75 : 445.50 = 445.50 : x - Step 2: Convert to fraction form
269.75/445.50 = 445.50/x - Step 3: Cross multiply
269.75x = 445.50 × 445.50 - Step 4: Simplify right side
269.75x = 198,470.25 - Step 5: Solve for x
x = 198,470.25/269.75 - Step 6: Final answer
x = 735.76
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Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.