Finding the Third Proportional to 266.50 and 427.25
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Solution
The third proportional to 266.50 and 427.25 is: 684.96
Step by Step Solution
- Step 1: Write the proportion equation
266.50 : 427.25 = 427.25 : x - Step 2: Convert to fraction form
266.50/427.25 = 427.25/x - Step 3: Cross multiply
266.50x = 427.25 × 427.25 - Step 4: Simplify right side
266.50x = 182,542.56 - Step 5: Solve for x
x = 182,542.56/266.50 - Step 6: Final answer
x = 684.96
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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.