Finding the Third Proportional to 80,707.50 and 159,348
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Solution
The third proportional to 80,707.50 and 159,348 is: 314,614.94
Step by Step Solution
- Step 1: Write the proportion equation
80,707.50 : 159,348 = 159,348 : x - Step 2: Convert to fraction form
80,707.50/159,348 = 159,348/x - Step 3: Cross multiply
80,707.50x = 159,348 × 159,348 - Step 4: Simplify right side
80,707.50x = 25,391,785,104 - Step 5: Solve for x
x = 25,391,785,104/80,707.50 - Step 6: Final answer
x = 314,614.94
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.