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Finding the Third Proportional to 166,578 and 264,934

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Solution

The third proportional to 166,578 and 264,934 is: 421,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,578 : 264,934 = 264,934 : x
  2. Step 2: Convert to fraction form
    166,578/264,934 = 264,934/x
  3. Step 3: Cross multiply
    166,578x = 264,934 × 264,934
  4. Step 4: Simplify right side
    166,578x = 70,190,024,356
  5. Step 5: Solve for x
    x = 70,190,024,356/166,578
  6. Step 6: Final answer
    x = 421,364.31

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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.