Finding the Third Proportional to 212,242 and 465,308
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Solution
The third proportional to 212,242 and 465,308 is: 1,020,116.35
Step by Step Solution
- Step 1: Write the proportion equation
212,242 : 465,308 = 465,308 : x - Step 2: Convert to fraction form
212,242/465,308 = 465,308/x - Step 3: Cross multiply
212,242x = 465,308 × 465,308 - Step 4: Simplify right side
212,242x = 216,511,534,864 - Step 5: Solve for x
x = 216,511,534,864/212,242 - Step 6: Final answer
x = 1,020,116.35
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.