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Finding the Third Proportional to 144,999 and 204,193.50

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Solution

The third proportional to 144,999 and 204,193.50 is: 287,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,999 : 204,193.50 = 204,193.50 : x
  2. Step 2: Convert to fraction form
    144,999/204,193.50 = 204,193.50/x
  3. Step 3: Cross multiply
    144,999x = 204,193.50 × 204,193.50
  4. Step 4: Simplify right side
    144,999x = 41,694,985,442.25
  5. Step 5: Solve for x
    x = 41,694,985,442.25/144,999
  6. Step 6: Final answer
    x = 287,553.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.