Finding the Third Proportional to 302,811.50 and 470,208
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Solution
The third proportional to 302,811.50 and 470,208 is: 730,142.56
Step by Step Solution
- Step 1: Write the proportion equation
302,811.50 : 470,208 = 470,208 : x - Step 2: Convert to fraction form
302,811.50/470,208 = 470,208/x - Step 3: Cross multiply
302,811.50x = 470,208 × 470,208 - Step 4: Simplify right side
302,811.50x = 221,095,563,264 - Step 5: Solve for x
x = 221,095,563,264/302,811.50 - Step 6: Final answer
x = 730,142.56
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.