Finding the Third Proportional to 196,870 and 429,827
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Solution
The third proportional to 196,870 and 429,827 is: 938,442.88
Step by Step Solution
- Step 1: Write the proportion equation
196,870 : 429,827 = 429,827 : x - Step 2: Convert to fraction form
196,870/429,827 = 429,827/x - Step 3: Cross multiply
196,870x = 429,827 × 429,827 - Step 4: Simplify right side
196,870x = 184,751,249,929 - Step 5: Solve for x
x = 184,751,249,929/196,870 - Step 6: Final answer
x = 938,442.88
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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.