Finding the Third Proportional to 114,240 and 254,976
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Solution
The third proportional to 114,240 and 254,976 is: 569,089.29
Step by Step Solution
- Step 1: Write the proportion equation
114,240 : 254,976 = 254,976 : x - Step 2: Convert to fraction form
114,240/254,976 = 254,976/x - Step 3: Cross multiply
114,240x = 254,976 × 254,976 - Step 4: Simplify right side
114,240x = 65,012,760,576 - Step 5: Solve for x
x = 65,012,760,576/114,240 - Step 6: Final answer
x = 569,089.29
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.