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Finding the Third Proportional to 204,420.38 and 313,772.06

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Solution

The third proportional to 204,420.38 and 313,772.06 is: 481,619.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,420.38 : 313,772.06 = 313,772.06 : x
  2. Step 2: Convert to fraction form
    204,420.38/313,772.06 = 313,772.06/x
  3. Step 3: Cross multiply
    204,420.38x = 313,772.06 × 313,772.06
  4. Step 4: Simplify right side
    204,420.38x = 98,452,907,205.50
  5. Step 5: Solve for x
    x = 98,452,907,205.50/204,420.38
  6. Step 6: Final answer
    x = 481,619.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.