Finding the Third Proportional to 199,648.50 and 433,014
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Solution
The third proportional to 199,648.50 and 433,014 is: 939,156.19
Step by Step Solution
- Step 1: Write the proportion equation
199,648.50 : 433,014 = 433,014 : x - Step 2: Convert to fraction form
199,648.50/433,014 = 433,014/x - Step 3: Cross multiply
199,648.50x = 433,014 × 433,014 - Step 4: Simplify right side
199,648.50x = 187,501,124,196 - Step 5: Solve for x
x = 187,501,124,196/199,648.50 - Step 6: Final answer
x = 939,156.19
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.