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Finding the Third Proportional to 204,099.75 and 444,345.75

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Solution

The third proportional to 204,099.75 and 444,345.75 is: 967,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,099.75 : 444,345.75 = 444,345.75 : x
  2. Step 2: Convert to fraction form
    204,099.75/444,345.75 = 444,345.75/x
  3. Step 3: Cross multiply
    204,099.75x = 444,345.75 × 444,345.75
  4. Step 4: Simplify right side
    204,099.75x = 197,443,145,543.06
  5. Step 5: Solve for x
    x = 197,443,145,543.06/204,099.75
  6. Step 6: Final answer
    x = 967,385.53

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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.