Finding the Third Proportional to 178,066 and 277,311
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Solution
The third proportional to 178,066 and 277,311 is: 431,870.15
Step by Step Solution
- Step 1: Write the proportion equation
178,066 : 277,311 = 277,311 : x - Step 2: Convert to fraction form
178,066/277,311 = 277,311/x - Step 3: Cross multiply
178,066x = 277,311 × 277,311 - Step 4: Simplify right side
178,066x = 76,901,390,721 - Step 5: Solve for x
x = 76,901,390,721/178,066 - Step 6: Final answer
x = 431,870.15
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.