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Finding the Third Proportional to 166,234 and 365,678

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Solution

The third proportional to 166,234 and 365,678 is: 804,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,234 : 365,678 = 365,678 : x
  2. Step 2: Convert to fraction form
    166,234/365,678 = 365,678/x
  3. Step 3: Cross multiply
    166,234x = 365,678 × 365,678
  4. Step 4: Simplify right side
    166,234x = 133,720,399,684
  5. Step 5: Solve for x
    x = 133,720,399,684/166,234
  6. Step 6: Final answer
    x = 804,410.65

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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.