Finding the Third Proportional to 224,811.50 and 470,408
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Solution
The third proportional to 224,811.50 and 470,408 is: 984,307.68
Step by Step Solution
- Step 1: Write the proportion equation
224,811.50 : 470,408 = 470,408 : x - Step 2: Convert to fraction form
224,811.50/470,408 = 470,408/x - Step 3: Cross multiply
224,811.50x = 470,408 × 470,408 - Step 4: Simplify right side
224,811.50x = 221,283,686,464 - Step 5: Solve for x
x = 221,283,686,464/224,811.50 - Step 6: Final answer
x = 984,307.68
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.