Finding the Third Proportional to 98,184 and 213,000
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Solution
The third proportional to 98,184 and 213,000 is: 462,081.40
Step by Step Solution
- Step 1: Write the proportion equation
98,184 : 213,000 = 213,000 : x - Step 2: Convert to fraction form
98,184/213,000 = 213,000/x - Step 3: Cross multiply
98,184x = 213,000 × 213,000 - Step 4: Simplify right side
98,184x = 45,369,000,000 - Step 5: Solve for x
x = 45,369,000,000/98,184 - Step 6: Final answer
x = 462,081.40
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.