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Finding the Third Proportional to 223,166.25 and 335,236.50

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Solution

The third proportional to 223,166.25 and 335,236.50 is: 503,586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,166.25 : 335,236.50 = 335,236.50 : x
  2. Step 2: Convert to fraction form
    223,166.25/335,236.50 = 335,236.50/x
  3. Step 3: Cross multiply
    223,166.25x = 335,236.50 × 335,236.50
  4. Step 4: Simplify right side
    223,166.25x = 112,383,510,932.25
  5. Step 5: Solve for x
    x = 112,383,510,932.25/223,166.25
  6. Step 6: Final answer
    x = 503,586.50

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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.