Finding the Third Proportional to 208,140 and 491,178
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Solution
The third proportional to 208,140 and 491,178 is: 1,159,103.62
Step by Step Solution
- Step 1: Write the proportion equation
208,140 : 491,178 = 491,178 : x - Step 2: Convert to fraction form
208,140/491,178 = 491,178/x - Step 3: Cross multiply
208,140x = 491,178 × 491,178 - Step 4: Simplify right side
208,140x = 241,255,827,684 - Step 5: Solve for x
x = 241,255,827,684/208,140 - Step 6: Final answer
x = 1,159,103.62
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.