Finding the Third Proportional to 138,436 and 181,780
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Solution
The third proportional to 138,436 and 181,780 is: 238,694.91
Step by Step Solution
- Step 1: Write the proportion equation
138,436 : 181,780 = 181,780 : x - Step 2: Convert to fraction form
138,436/181,780 = 181,780/x - Step 3: Cross multiply
138,436x = 181,780 × 181,780 - Step 4: Simplify right side
138,436x = 33,043,968,400 - Step 5: Solve for x
x = 33,043,968,400/138,436 - Step 6: Final answer
x = 238,694.91
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.