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Finding the Third Proportional to 197,074.69 and 264,817.69

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Solution

The third proportional to 197,074.69 and 264,817.69 is: 355,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,074.69 : 264,817.69 = 264,817.69 : x
  2. Step 2: Convert to fraction form
    197,074.69/264,817.69 = 264,817.69/x
  3. Step 3: Cross multiply
    197,074.69x = 264,817.69 × 264,817.69
  4. Step 4: Simplify right side
    197,074.69x = 70,128,407,612.85
  5. Step 5: Solve for x
    x = 70,128,407,612.85/197,074.69
  6. Step 6: Final answer
    x = 355,846.85

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.