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Finding the Third Proportional to 204,360 and 445,500

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Solution

The third proportional to 204,360 and 445,500 is: 971,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,360 : 445,500 = 445,500 : x
  2. Step 2: Convert to fraction form
    204,360/445,500 = 445,500/x
  3. Step 3: Cross multiply
    204,360x = 445,500 × 445,500
  4. Step 4: Simplify right side
    204,360x = 198,470,250,000
  5. Step 5: Solve for x
    x = 198,470,250,000/204,360
  6. Step 6: Final answer
    x = 971,179.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.