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Finding the Third Proportional to 166,584 and 264,939

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Solution

The third proportional to 166,584 and 264,939 is: 421,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,584 : 264,939 = 264,939 : x
  2. Step 2: Convert to fraction form
    166,584/264,939 = 264,939/x
  3. Step 3: Cross multiply
    166,584x = 264,939 × 264,939
  4. Step 4: Simplify right side
    166,584x = 70,192,673,721
  5. Step 5: Solve for x
    x = 70,192,673,721/166,584
  6. Step 6: Final answer
    x = 421,365.04

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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.