Finding the Third Proportional to 241,210 and 509,176
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Solution
The third proportional to 241,210 and 509,176 is: 1,074,831.88
Step by Step Solution
- Step 1: Write the proportion equation
241,210 : 509,176 = 509,176 : x - Step 2: Convert to fraction form
241,210/509,176 = 509,176/x - Step 3: Cross multiply
241,210x = 509,176 × 509,176 - Step 4: Simplify right side
241,210x = 259,260,198,976 - Step 5: Solve for x
x = 259,260,198,976/241,210 - Step 6: Final answer
x = 1,074,831.88
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.