Finding the Third Proportional to 103,680 and 226,800
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Solution
The third proportional to 103,680 and 226,800 is: 496,125
Step by Step Solution
- Step 1: Write the proportion equation
103,680 : 226,800 = 226,800 : x - Step 2: Convert to fraction form
103,680/226,800 = 226,800/x - Step 3: Cross multiply
103,680x = 226,800 × 226,800 - Step 4: Simplify right side
103,680x = 51,438,240,000 - Step 5: Solve for x
x = 51,438,240,000/103,680 - Step 6: Final answer
x = 496,125
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.