Finding the Third Proportional to 165,780 and 256,014
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Solution
The third proportional to 165,780 and 256,014 is: 395,362.34
Step by Step Solution
- Step 1: Write the proportion equation
165,780 : 256,014 = 256,014 : x - Step 2: Convert to fraction form
165,780/256,014 = 256,014/x - Step 3: Cross multiply
165,780x = 256,014 × 256,014 - Step 4: Simplify right side
165,780x = 65,543,168,196 - Step 5: Solve for x
x = 65,543,168,196/165,780 - Step 6: Final answer
x = 395,362.34
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.