Finding the Third Proportional to 100,328 and 208,960
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Solution
The third proportional to 100,328 and 208,960 is: 435,215.31
Step by Step Solution
- Step 1: Write the proportion equation
100,328 : 208,960 = 208,960 : x - Step 2: Convert to fraction form
100,328/208,960 = 208,960/x - Step 3: Cross multiply
100,328x = 208,960 × 208,960 - Step 4: Simplify right side
100,328x = 43,664,281,600 - Step 5: Solve for x
x = 43,664,281,600/100,328 - Step 6: Final answer
x = 435,215.31
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.