Finding the Third Proportional to 180,646 and 254,164
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Solution
The third proportional to 180,646 and 254,164 is: 357,601.82
Step by Step Solution
- Step 1: Write the proportion equation
180,646 : 254,164 = 254,164 : x - Step 2: Convert to fraction form
180,646/254,164 = 254,164/x - Step 3: Cross multiply
180,646x = 254,164 × 254,164 - Step 4: Simplify right side
180,646x = 64,599,338,896 - Step 5: Solve for x
x = 64,599,338,896/180,646 - Step 6: Final answer
x = 357,601.82
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.