Finding the Third Proportional to 210,184 and 461,246
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Solution
The third proportional to 210,184 and 461,246 is: 1,012,198.23
Step by Step Solution
- Step 1: Write the proportion equation
210,184 : 461,246 = 461,246 : x - Step 2: Convert to fraction form
210,184/461,246 = 461,246/x - Step 3: Cross multiply
210,184x = 461,246 × 461,246 - Step 4: Simplify right side
210,184x = 212,747,872,516 - Step 5: Solve for x
x = 212,747,872,516/210,184 - Step 6: Final answer
x = 1,012,198.23
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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.