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Finding the Third Proportional to 223,198.03 and 481,679.16

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Solution

The third proportional to 223,198.03 and 481,679.16 is: 1,039,502.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,198.03 : 481,679.16 = 481,679.16 : x
  2. Step 2: Convert to fraction form
    223,198.03/481,679.16 = 481,679.16/x
  3. Step 3: Cross multiply
    223,198.03x = 481,679.16 × 481,679.16
  4. Step 4: Simplify right side
    223,198.03x = 232,014,809,565.71
  5. Step 5: Solve for x
    x = 232,014,809,565.71/223,198.03
  6. Step 6: Final answer
    x = 1,039,502.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.