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Finding the Third Proportional to 223,805.25 and 436,189.50

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Solution

The third proportional to 223,805.25 and 436,189.50 is: 850,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,805.25 : 436,189.50 = 436,189.50 : x
  2. Step 2: Convert to fraction form
    223,805.25/436,189.50 = 436,189.50/x
  3. Step 3: Cross multiply
    223,805.25x = 436,189.50 × 436,189.50
  4. Step 4: Simplify right side
    223,805.25x = 190,261,279,910.25
  5. Step 5: Solve for x
    x = 190,261,279,910.25/223,805.25
  6. Step 6: Final answer
    x = 850,119.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.