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Finding the Third Proportional to 180,200 and 269,652

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Solution

The third proportional to 180,200 and 269,652 is: 403,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,200 : 269,652 = 269,652 : x
  2. Step 2: Convert to fraction form
    180,200/269,652 = 269,652/x
  3. Step 3: Cross multiply
    180,200x = 269,652 × 269,652
  4. Step 4: Simplify right side
    180,200x = 72,712,201,104
  5. Step 5: Solve for x
    x = 72,712,201,104/180,200
  6. Step 6: Final answer
    x = 403,508.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.