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Finding the Third Proportional to 223,028 and 333,568

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Solution

The third proportional to 223,028 and 333,568 is: 498,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,028 : 333,568 = 333,568 : x
  2. Step 2: Convert to fraction form
    223,028/333,568 = 333,568/x
  3. Step 3: Cross multiply
    223,028x = 333,568 × 333,568
  4. Step 4: Simplify right side
    223,028x = 111,267,610,624
  5. Step 5: Solve for x
    x = 111,267,610,624/223,028
  6. Step 6: Final answer
    x = 498,895.25

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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.