Finding the Third Proportional to 77,806 and 165,980
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Solution
The third proportional to 77,806 and 165,980 is: 354,077.58
Step by Step Solution
- Step 1: Write the proportion equation
77,806 : 165,980 = 165,980 : x - Step 2: Convert to fraction form
77,806/165,980 = 165,980/x - Step 3: Cross multiply
77,806x = 165,980 × 165,980 - Step 4: Simplify right side
77,806x = 27,549,360,400 - Step 5: Solve for x
x = 27,549,360,400/77,806 - Step 6: Final answer
x = 354,077.58
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.