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Finding the Third Proportional to 223,188.50 and 496,039.50

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Solution

The third proportional to 223,188.50 and 496,039.50 is: 1,102,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,188.50 : 496,039.50 = 496,039.50 : x
  2. Step 2: Convert to fraction form
    223,188.50/496,039.50 = 496,039.50/x
  3. Step 3: Cross multiply
    223,188.50x = 496,039.50 × 496,039.50
  4. Step 4: Simplify right side
    223,188.50x = 246,055,185,560.25
  5. Step 5: Solve for x
    x = 246,055,185,560.25/223,188.50
  6. Step 6: Final answer
    x = 1,102,454.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.