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Finding the Third Proportional to 197,149.36 and 295,389.91

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Solution

The third proportional to 197,149.36 and 295,389.91 is: 442,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,149.36 : 295,389.91 = 295,389.91 : x
  2. Step 2: Convert to fraction form
    197,149.36/295,389.91 = 295,389.91/x
  3. Step 3: Cross multiply
    197,149.36x = 295,389.91 × 295,389.91
  4. Step 4: Simplify right side
    197,149.36x = 87,255,201,329.85
  5. Step 5: Solve for x
    x = 87,255,201,329.85/197,149.36
  6. Step 6: Final answer
    x = 442,584.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.