Finding the Third Proportional to 208,192 and 462,960
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Solution
The third proportional to 208,192 and 462,960 is: 1,029,491.82
Step by Step Solution
- Step 1: Write the proportion equation
208,192 : 462,960 = 462,960 : x - Step 2: Convert to fraction form
208,192/462,960 = 462,960/x - Step 3: Cross multiply
208,192x = 462,960 × 462,960 - Step 4: Simplify right side
208,192x = 214,331,961,600 - Step 5: Solve for x
x = 214,331,961,600/208,192 - Step 6: Final answer
x = 1,029,491.82
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.