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Finding the Third Proportional to 269,209.50 and 422,369.25

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Solution

The third proportional to 269,209.50 and 422,369.25 is: 662,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,209.50 : 422,369.25 = 422,369.25 : x
  2. Step 2: Convert to fraction form
    269,209.50/422,369.25 = 422,369.25/x
  3. Step 3: Cross multiply
    269,209.50x = 422,369.25 × 422,369.25
  4. Step 4: Simplify right side
    269,209.50x = 178,395,783,345.56
  5. Step 5: Solve for x
    x = 178,395,783,345.56/269,209.50
  6. Step 6: Final answer
    x = 662,665.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.