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Finding the Third Proportional to 198,704.25 and 429,099.75

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Solution

The third proportional to 198,704.25 and 429,099.75 is: 926,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,704.25 : 429,099.75 = 429,099.75 : x
  2. Step 2: Convert to fraction form
    198,704.25/429,099.75 = 429,099.75/x
  3. Step 3: Cross multiply
    198,704.25x = 429,099.75 × 429,099.75
  4. Step 4: Simplify right side
    198,704.25x = 184,126,595,450.06
  5. Step 5: Solve for x
    x = 184,126,595,450.06/198,704.25
  6. Step 6: Final answer
    x = 926,636.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.