Finding the Third Proportional to 142,778 and 310,980
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Solution
The third proportional to 142,778 and 310,980 is: 677,335.17
Step by Step Solution
- Step 1: Write the proportion equation
142,778 : 310,980 = 310,980 : x - Step 2: Convert to fraction form
142,778/310,980 = 310,980/x - Step 3: Cross multiply
142,778x = 310,980 × 310,980 - Step 4: Simplify right side
142,778x = 96,708,560,400 - Step 5: Solve for x
x = 96,708,560,400/142,778 - Step 6: Final answer
x = 677,335.17
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.