Finding the Third Proportional to 102,176.44 and 224,673.75
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Solution
The third proportional to 102,176.44 and 224,673.75 is: 494,030.67
Step by Step Solution
- Step 1: Write the proportion equation
102,176.44 : 224,673.75 = 224,673.75 : x - Step 2: Convert to fraction form
102,176.44/224,673.75 = 224,673.75/x - Step 3: Cross multiply
102,176.44x = 224,673.75 × 224,673.75 - Step 4: Simplify right side
102,176.44x = 50,478,293,939.06 - Step 5: Solve for x
x = 50,478,293,939.06/102,176.44 - Step 6: Final answer
x = 494,030.67
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.