Finding the Third Proportional to 200,396 and 310,719
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Solution
The third proportional to 200,396 and 310,719 is: 481,777.57
Step by Step Solution
- Step 1: Write the proportion equation
200,396 : 310,719 = 310,719 : x - Step 2: Convert to fraction form
200,396/310,719 = 310,719/x - Step 3: Cross multiply
200,396x = 310,719 × 310,719 - Step 4: Simplify right side
200,396x = 96,546,296,961 - Step 5: Solve for x
x = 96,546,296,961/200,396 - Step 6: Final answer
x = 481,777.57
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.