Finding the Third Proportional to 126,270 and 278,784
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Solution
The third proportional to 126,270 and 278,784 is: 615,510.56
Step by Step Solution
- Step 1: Write the proportion equation
126,270 : 278,784 = 278,784 : x - Step 2: Convert to fraction form
126,270/278,784 = 278,784/x - Step 3: Cross multiply
126,270x = 278,784 × 278,784 - Step 4: Simplify right side
126,270x = 77,720,518,656 - Step 5: Solve for x
x = 77,720,518,656/126,270 - Step 6: Final answer
x = 615,510.56
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.