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Finding the Third Proportional to 176,051 and 263,401

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Solution

The third proportional to 176,051 and 263,401 is: 394,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,051 : 263,401 = 263,401 : x
  2. Step 2: Convert to fraction form
    176,051/263,401 = 263,401/x
  3. Step 3: Cross multiply
    176,051x = 263,401 × 263,401
  4. Step 4: Simplify right side
    176,051x = 69,380,086,801
  5. Step 5: Solve for x
    x = 69,380,086,801/176,051
  6. Step 6: Final answer
    x = 394,090.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.