Finding the Third Proportional to 214,738 and 485,152
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Solution
The third proportional to 214,738 and 485,152 is: 1,096,091.34
Step by Step Solution
- Step 1: Write the proportion equation
214,738 : 485,152 = 485,152 : x - Step 2: Convert to fraction form
214,738/485,152 = 485,152/x - Step 3: Cross multiply
214,738x = 485,152 × 485,152 - Step 4: Simplify right side
214,738x = 235,372,463,104 - Step 5: Solve for x
x = 235,372,463,104/214,738 - Step 6: Final answer
x = 1,096,091.34
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.