Finding the Third Proportional to 103,846 and 227,345
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Solution
The third proportional to 103,846 and 227,345 is: 497,715.36
Step by Step Solution
- Step 1: Write the proportion equation
103,846 : 227,345 = 227,345 : x - Step 2: Convert to fraction form
103,846/227,345 = 227,345/x - Step 3: Cross multiply
103,846x = 227,345 × 227,345 - Step 4: Simplify right side
103,846x = 51,685,749,025 - Step 5: Solve for x
x = 51,685,749,025/103,846 - Step 6: Final answer
x = 497,715.36
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.