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Finding the Third Proportional to 176,055 and 263,406

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Solution

The third proportional to 176,055 and 263,406 is: 394,096.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,055 : 263,406 = 263,406 : x
  2. Step 2: Convert to fraction form
    176,055/263,406 = 263,406/x
  3. Step 3: Cross multiply
    176,055x = 263,406 × 263,406
  4. Step 4: Simplify right side
    176,055x = 69,382,720,836
  5. Step 5: Solve for x
    x = 69,382,720,836/176,055
  6. Step 6: Final answer
    x = 394,096.85

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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.