Finding the Third Proportional to 187,680 and 442,854
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Solution
The third proportional to 187,680 and 442,854 is: 1,044,968.38
Step by Step Solution
- Step 1: Write the proportion equation
187,680 : 442,854 = 442,854 : x - Step 2: Convert to fraction form
187,680/442,854 = 442,854/x - Step 3: Cross multiply
187,680x = 442,854 × 442,854 - Step 4: Simplify right side
187,680x = 196,119,665,316 - Step 5: Solve for x
x = 196,119,665,316/187,680 - Step 6: Final answer
x = 1,044,968.38
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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.