Finding the Third Proportional to 109 and 271.50
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Solution
The third proportional to 109 and 271.50 is: 676.26
Step by Step Solution
- Step 1: Write the proportion equation
109 : 271.50 = 271.50 : x - Step 2: Convert to fraction form
109/271.50 = 271.50/x - Step 3: Cross multiply
109x = 271.50 × 271.50 - Step 4: Simplify right side
109x = 73,712.25 - Step 5: Solve for x
x = 73,712.25/109 - Step 6: Final answer
x = 676.26
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Why These Related Problems?
These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.