Finding the Third Proportional to 169,219.75 and 224,623.75
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Solution
The third proportional to 169,219.75 and 224,623.75 is: 298,167.50
Step by Step Solution
- Step 1: Write the proportion equation
169,219.75 : 224,623.75 = 224,623.75 : x - Step 2: Convert to fraction form
169,219.75/224,623.75 = 224,623.75/x - Step 3: Cross multiply
169,219.75x = 224,623.75 × 224,623.75 - Step 4: Simplify right side
169,219.75x = 50,455,829,064.06 - Step 5: Solve for x
x = 50,455,829,064.06/169,219.75 - Step 6: Final answer
x = 298,167.50
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.