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Finding the Third Proportional to 197,533 and 466,112

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Solution

The third proportional to 197,533 and 466,112 is: 1,099,868.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,533 : 466,112 = 466,112 : x
  2. Step 2: Convert to fraction form
    197,533/466,112 = 466,112/x
  3. Step 3: Cross multiply
    197,533x = 466,112 × 466,112
  4. Step 4: Simplify right side
    197,533x = 217,260,396,544
  5. Step 5: Solve for x
    x = 217,260,396,544/197,533
  6. Step 6: Final answer
    x = 1,099,868.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.