Finding the Third Proportional to 214,964 and 468,160
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Solution
The third proportional to 214,964 and 468,160 is: 1,019,583.68
Step by Step Solution
- Step 1: Write the proportion equation
214,964 : 468,160 = 468,160 : x - Step 2: Convert to fraction form
214,964/468,160 = 468,160/x - Step 3: Cross multiply
214,964x = 468,160 × 468,160 - Step 4: Simplify right side
214,964x = 219,173,785,600 - Step 5: Solve for x
x = 219,173,785,600/214,964 - Step 6: Final answer
x = 1,019,583.68
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.