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Finding the Third Proportional to 113,591 and 178,206

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Solution

The third proportional to 113,591 and 178,206 is: 279,576.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,591 : 178,206 = 178,206 : x
  2. Step 2: Convert to fraction form
    113,591/178,206 = 178,206/x
  3. Step 3: Cross multiply
    113,591x = 178,206 × 178,206
  4. Step 4: Simplify right side
    113,591x = 31,757,378,436
  5. Step 5: Solve for x
    x = 31,757,378,436/113,591
  6. Step 6: Final answer
    x = 279,576.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.