Finding the Third Proportional to 187,828 and 442,946
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Solution
The third proportional to 187,828 and 442,946 is: 1,044,578.86
Step by Step Solution
- Step 1: Write the proportion equation
187,828 : 442,946 = 442,946 : x - Step 2: Convert to fraction form
187,828/442,946 = 442,946/x - Step 3: Cross multiply
187,828x = 442,946 × 442,946 - Step 4: Simplify right side
187,828x = 196,201,158,916 - Step 5: Solve for x
x = 196,201,158,916/187,828 - Step 6: Final answer
x = 1,044,578.86
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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.