Finding the Third Proportional to 178,330 and 277,019
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Solution
The third proportional to 178,330 and 277,019 is: 430,323.14
Step by Step Solution
- Step 1: Write the proportion equation
178,330 : 277,019 = 277,019 : x - Step 2: Convert to fraction form
178,330/277,019 = 277,019/x - Step 3: Cross multiply
178,330x = 277,019 × 277,019 - Step 4: Simplify right side
178,330x = 76,739,526,361 - Step 5: Solve for x
x = 76,739,526,361/178,330 - Step 6: Final answer
x = 430,323.14
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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.