Finding the Third Proportional to 109,879.50 and 233,247
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Solution
The third proportional to 109,879.50 and 233,247 is: 495,125.69
Step by Step Solution
- Step 1: Write the proportion equation
109,879.50 : 233,247 = 233,247 : x - Step 2: Convert to fraction form
109,879.50/233,247 = 233,247/x - Step 3: Cross multiply
109,879.50x = 233,247 × 233,247 - Step 4: Simplify right side
109,879.50x = 54,404,163,009 - Step 5: Solve for x
x = 54,404,163,009/109,879.50 - Step 6: Final answer
x = 495,125.69
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.