Finding the Third Proportional to 302,842.50 and 443,247
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Solution
The third proportional to 302,842.50 and 443,247 is: 648,746.14
Step by Step Solution
- Step 1: Write the proportion equation
302,842.50 : 443,247 = 443,247 : x - Step 2: Convert to fraction form
302,842.50/443,247 = 443,247/x - Step 3: Cross multiply
302,842.50x = 443,247 × 443,247 - Step 4: Simplify right side
302,842.50x = 196,467,903,009 - Step 5: Solve for x
x = 196,467,903,009/302,842.50 - Step 6: Final answer
x = 648,746.14
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.