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Finding the Third Proportional to 166,576 and 264,931

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Solution

The third proportional to 166,576 and 264,931 is: 421,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,576 : 264,931 = 264,931 : x
  2. Step 2: Convert to fraction form
    166,576/264,931 = 264,931/x
  3. Step 3: Cross multiply
    166,576x = 264,931 × 264,931
  4. Step 4: Simplify right side
    166,576x = 70,188,434,761
  5. Step 5: Solve for x
    x = 70,188,434,761/166,576
  6. Step 6: Final answer
    x = 421,359.83

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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.