Finding the Third Proportional to 129.75 and 266.25
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Solution
The third proportional to 129.75 and 266.25 is: 546.35
Step by Step Solution
- Step 1: Write the proportion equation
129.75 : 266.25 = 266.25 : x - Step 2: Convert to fraction form
129.75/266.25 = 266.25/x - Step 3: Cross multiply
129.75x = 266.25 × 266.25 - Step 4: Simplify right side
129.75x = 70,889.06 - Step 5: Solve for x
x = 70,889.06/129.75 - Step 6: Final answer
x = 546.35
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.