Finding the Third Proportional to 212,244 and 465,312
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Solution
The third proportional to 212,244 and 465,312 is: 1,020,124.28
Step by Step Solution
- Step 1: Write the proportion equation
212,244 : 465,312 = 465,312 : x - Step 2: Convert to fraction form
212,244/465,312 = 465,312/x - Step 3: Cross multiply
212,244x = 465,312 × 465,312 - Step 4: Simplify right side
212,244x = 216,515,257,344 - Step 5: Solve for x
x = 216,515,257,344/212,244 - Step 6: Final answer
x = 1,020,124.28
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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.