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Finding the Third Proportional to 223,208 and 496,080

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Solution

The third proportional to 223,208 and 496,080 is: 1,102,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,208 : 496,080 = 496,080 : x
  2. Step 2: Convert to fraction form
    223,208/496,080 = 496,080/x
  3. Step 3: Cross multiply
    223,208x = 496,080 × 496,080
  4. Step 4: Simplify right side
    223,208x = 246,095,366,400
  5. Step 5: Solve for x
    x = 246,095,366,400/223,208
  6. Step 6: Final answer
    x = 1,102,538.29

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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.