Finding the Third Proportional to 206,116 and 477,194
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Solution
The third proportional to 206,116 and 477,194 is: 1,104,786.21
Step by Step Solution
- Step 1: Write the proportion equation
206,116 : 477,194 = 477,194 : x - Step 2: Convert to fraction form
206,116/477,194 = 477,194/x - Step 3: Cross multiply
206,116x = 477,194 × 477,194 - Step 4: Simplify right side
206,116x = 227,714,113,636 - Step 5: Solve for x
x = 227,714,113,636/206,116 - Step 6: Final answer
x = 1,104,786.21
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.