Finding the Third Proportional to 226,384 and 486,176
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Solution
The third proportional to 226,384 and 486,176 is: 1,044,098.09
Step by Step Solution
- Step 1: Write the proportion equation
226,384 : 486,176 = 486,176 : x - Step 2: Convert to fraction form
226,384/486,176 = 486,176/x - Step 3: Cross multiply
226,384x = 486,176 × 486,176 - Step 4: Simplify right side
226,384x = 236,367,102,976 - Step 5: Solve for x
x = 236,367,102,976/226,384 - Step 6: Final answer
x = 1,044,098.09
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.