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Finding the Third Proportional to 166,827 and 366,863

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Solution

The third proportional to 166,827 and 366,863 is: 806,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,827 : 366,863 = 366,863 : x
  2. Step 2: Convert to fraction form
    166,827/366,863 = 366,863/x
  3. Step 3: Cross multiply
    166,827x = 366,863 × 366,863
  4. Step 4: Simplify right side
    166,827x = 134,588,460,769
  5. Step 5: Solve for x
    x = 134,588,460,769/166,827
  6. Step 6: Final answer
    x = 806,754.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.