Finding the Third Proportional to 137,725.50 and 212,816
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Solution
The third proportional to 137,725.50 and 212,816 is: 328,847.23
Step by Step Solution
- Step 1: Write the proportion equation
137,725.50 : 212,816 = 212,816 : x - Step 2: Convert to fraction form
137,725.50/212,816 = 212,816/x - Step 3: Cross multiply
137,725.50x = 212,816 × 212,816 - Step 4: Simplify right side
137,725.50x = 45,290,649,856 - Step 5: Solve for x
x = 45,290,649,856/137,725.50 - Step 6: Final answer
x = 328,847.23
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.