Finding the Third Proportional to 212,023.50 and 461,444
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Solution
The third proportional to 212,023.50 and 461,444 is: 1,004,278.13
Step by Step Solution
- Step 1: Write the proportion equation
212,023.50 : 461,444 = 461,444 : x - Step 2: Convert to fraction form
212,023.50/461,444 = 461,444/x - Step 3: Cross multiply
212,023.50x = 461,444 × 461,444 - Step 4: Simplify right side
212,023.50x = 212,930,565,136 - Step 5: Solve for x
x = 212,930,565,136/212,023.50 - Step 6: Final answer
x = 1,004,278.13
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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.