Finding the Third Proportional to 103,050 and 224,712
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Solution
The third proportional to 103,050 and 224,712 is: 490,009.54
Step by Step Solution
- Step 1: Write the proportion equation
103,050 : 224,712 = 224,712 : x - Step 2: Convert to fraction form
103,050/224,712 = 224,712/x - Step 3: Cross multiply
103,050x = 224,712 × 224,712 - Step 4: Simplify right side
103,050x = 50,495,482,944 - Step 5: Solve for x
x = 50,495,482,944/103,050 - Step 6: Final answer
x = 490,009.54
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.