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Finding the Third Proportional to 166,682 and 264,783

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Solution

The third proportional to 166,682 and 264,783 is: 420,621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,682 : 264,783 = 264,783 : x
  2. Step 2: Convert to fraction form
    166,682/264,783 = 264,783/x
  3. Step 3: Cross multiply
    166,682x = 264,783 × 264,783
  4. Step 4: Simplify right side
    166,682x = 70,110,037,089
  5. Step 5: Solve for x
    x = 70,110,037,089/166,682
  6. Step 6: Final answer
    x = 420,621.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.