Finding the Third Proportional to 178,740 and 277,920
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Solution
The third proportional to 178,740 and 277,920 is: 432,133.41
Step by Step Solution
- Step 1: Write the proportion equation
178,740 : 277,920 = 277,920 : x - Step 2: Convert to fraction form
178,740/277,920 = 277,920/x - Step 3: Cross multiply
178,740x = 277,920 × 277,920 - Step 4: Simplify right side
178,740x = 77,239,526,400 - Step 5: Solve for x
x = 77,239,526,400/178,740 - Step 6: Final answer
x = 432,133.41
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.