Finding the Third Proportional to 210,202 and 461,284
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Solution
The third proportional to 210,202 and 461,284 is: 1,012,278.33
Step by Step Solution
- Step 1: Write the proportion equation
210,202 : 461,284 = 461,284 : x - Step 2: Convert to fraction form
210,202/461,284 = 461,284/x - Step 3: Cross multiply
210,202x = 461,284 × 461,284 - Step 4: Simplify right side
210,202x = 212,782,928,656 - Step 5: Solve for x
x = 212,782,928,656/210,202 - Step 6: Final answer
x = 1,012,278.33
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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.