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Finding the Third Proportional to 204,984.50 and 423,099

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Solution

The third proportional to 204,984.50 and 423,099 is: 873,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,984.50 : 423,099 = 423,099 : x
  2. Step 2: Convert to fraction form
    204,984.50/423,099 = 423,099/x
  3. Step 3: Cross multiply
    204,984.50x = 423,099 × 423,099
  4. Step 4: Simplify right side
    204,984.50x = 179,012,763,801
  5. Step 5: Solve for x
    x = 179,012,763,801/204,984.50
  6. Step 6: Final answer
    x = 873,299.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.