Finding the Third Proportional to 120,182 and 278,214
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Solution
The third proportional to 120,182 and 278,214 is: 644,048.44
Step by Step Solution
- Step 1: Write the proportion equation
120,182 : 278,214 = 278,214 : x - Step 2: Convert to fraction form
120,182/278,214 = 278,214/x - Step 3: Cross multiply
120,182x = 278,214 × 278,214 - Step 4: Simplify right side
120,182x = 77,403,029,796 - Step 5: Solve for x
x = 77,403,029,796/120,182 - Step 6: Final answer
x = 644,048.44
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Why These Related Problems?
These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.