Finding the Third Proportional to 105,228 and 225,216
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Solution
The third proportional to 105,228 and 225,216 is: 482,022.34
Step by Step Solution
- Step 1: Write the proportion equation
105,228 : 225,216 = 225,216 : x - Step 2: Convert to fraction form
105,228/225,216 = 225,216/x - Step 3: Cross multiply
105,228x = 225,216 × 225,216 - Step 4: Simplify right side
105,228x = 50,722,246,656 - Step 5: Solve for x
x = 50,722,246,656/105,228 - Step 6: Final answer
x = 482,022.34
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.