Finding the Third Proportional to 133,777 and 178,339
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Solution
The third proportional to 133,777 and 178,339 is: 237,744.90
Step by Step Solution
- Step 1: Write the proportion equation
133,777 : 178,339 = 178,339 : x - Step 2: Convert to fraction form
133,777/178,339 = 178,339/x - Step 3: Cross multiply
133,777x = 178,339 × 178,339 - Step 4: Simplify right side
133,777x = 31,804,798,921 - Step 5: Solve for x
x = 31,804,798,921/133,777 - Step 6: Final answer
x = 237,744.90
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.