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Finding the Third Proportional to 204,576.75 and 444,145.50

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Solution

The third proportional to 204,576.75 and 444,145.50 is: 964,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,576.75 : 444,145.50 = 444,145.50 : x
  2. Step 2: Convert to fraction form
    204,576.75/444,145.50 = 444,145.50/x
  3. Step 3: Cross multiply
    204,576.75x = 444,145.50 × 444,145.50
  4. Step 4: Simplify right side
    204,576.75x = 197,265,225,170.25
  5. Step 5: Solve for x
    x = 197,265,225,170.25/204,576.75
  6. Step 6: Final answer
    x = 964,260.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.