Finding the Third Proportional to 229,104 and 491,256
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Solution
The third proportional to 229,104 and 491,256 is: 1,053,375.14
Step by Step Solution
- Step 1: Write the proportion equation
229,104 : 491,256 = 491,256 : x - Step 2: Convert to fraction form
229,104/491,256 = 491,256/x - Step 3: Cross multiply
229,104x = 491,256 × 491,256 - Step 4: Simplify right side
229,104x = 241,332,457,536 - Step 5: Solve for x
x = 241,332,457,536/229,104 - Step 6: Final answer
x = 1,053,375.14
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.