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Finding the Third Proportional to 196,546.50 and 408,645

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Solution

The third proportional to 196,546.50 and 408,645 is: 849,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,546.50 : 408,645 = 408,645 : x
  2. Step 2: Convert to fraction form
    196,546.50/408,645 = 408,645/x
  3. Step 3: Cross multiply
    196,546.50x = 408,645 × 408,645
  4. Step 4: Simplify right side
    196,546.50x = 166,990,736,025
  5. Step 5: Solve for x
    x = 166,990,736,025/196,546.50
  6. Step 6: Final answer
    x = 849,624.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.