Finding the Third Proportional to 126,742 and 278,270
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Solution
The third proportional to 126,742 and 278,270 is: 610,959.22
Step by Step Solution
- Step 1: Write the proportion equation
126,742 : 278,270 = 278,270 : x - Step 2: Convert to fraction form
126,742/278,270 = 278,270/x - Step 3: Cross multiply
126,742x = 278,270 × 278,270 - Step 4: Simplify right side
126,742x = 77,434,192,900 - Step 5: Solve for x
x = 77,434,192,900/126,742 - Step 6: Final answer
x = 610,959.22
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.