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Finding the Third Proportional to 198,661 and 435,112

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Solution

The third proportional to 198,661 and 435,112 is: 952,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,661 : 435,112 = 435,112 : x
  2. Step 2: Convert to fraction form
    198,661/435,112 = 435,112/x
  3. Step 3: Cross multiply
    198,661x = 435,112 × 435,112
  4. Step 4: Simplify right side
    198,661x = 189,322,452,544
  5. Step 5: Solve for x
    x = 189,322,452,544/198,661
  6. Step 6: Final answer
    x = 952,992.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.