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Finding the Third Proportional to 176,079 and 263,442

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Solution

The third proportional to 176,079 and 263,442 is: 394,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,079 : 263,442 = 263,442 : x
  2. Step 2: Convert to fraction form
    176,079/263,442 = 263,442/x
  3. Step 3: Cross multiply
    176,079x = 263,442 × 263,442
  4. Step 4: Simplify right side
    176,079x = 69,401,687,364
  5. Step 5: Solve for x
    x = 69,401,687,364/176,079
  6. Step 6: Final answer
    x = 394,150.85

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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.