Finding the Third Proportional to 211,020 and 498,138
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Solution
The third proportional to 211,020 and 498,138 is: 1,175,914.45
Step by Step Solution
- Step 1: Write the proportion equation
211,020 : 498,138 = 498,138 : x - Step 2: Convert to fraction form
211,020/498,138 = 498,138/x - Step 3: Cross multiply
211,020x = 498,138 × 498,138 - Step 4: Simplify right side
211,020x = 248,141,467,044 - Step 5: Solve for x
x = 248,141,467,044/211,020 - Step 6: Final answer
x = 1,175,914.45
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.