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Finding the Third Proportional to 166,324 and 365,863

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Solution

The third proportional to 166,324 and 365,863 is: 804,789.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,324 : 365,863 = 365,863 : x
  2. Step 2: Convert to fraction form
    166,324/365,863 = 365,863/x
  3. Step 3: Cross multiply
    166,324x = 365,863 × 365,863
  4. Step 4: Simplify right side
    166,324x = 133,855,734,769
  5. Step 5: Solve for x
    x = 133,855,734,769/166,324
  6. Step 6: Final answer
    x = 804,789.05

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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.