Finding the Third Proportional to 159,132 and 209,148
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Solution
The third proportional to 159,132 and 209,148 is: 274,884.28
Step by Step Solution
- Step 1: Write the proportion equation
159,132 : 209,148 = 209,148 : x - Step 2: Convert to fraction form
159,132/209,148 = 209,148/x - Step 3: Cross multiply
159,132x = 209,148 × 209,148 - Step 4: Simplify right side
159,132x = 43,742,885,904 - Step 5: Solve for x
x = 43,742,885,904/159,132 - Step 6: Final answer
x = 274,884.28
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.