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Finding the Third Proportional to 196,210 and 303,755

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Solution

The third proportional to 196,210 and 303,755 is: 470,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,210 : 303,755 = 303,755 : x
  2. Step 2: Convert to fraction form
    196,210/303,755 = 303,755/x
  3. Step 3: Cross multiply
    196,210x = 303,755 × 303,755
  4. Step 4: Simplify right side
    196,210x = 92,267,100,025
  5. Step 5: Solve for x
    x = 92,267,100,025/196,210
  6. Step 6: Final answer
    x = 470,246.67

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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.