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Finding the Third Proportional to 223,143.25 and 490,567.75

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Solution

The third proportional to 223,143.25 and 490,567.75 is: 1,078,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,143.25 : 490,567.75 = 490,567.75 : x
  2. Step 2: Convert to fraction form
    223,143.25/490,567.75 = 490,567.75/x
  3. Step 3: Cross multiply
    223,143.25x = 490,567.75 × 490,567.75
  4. Step 4: Simplify right side
    223,143.25x = 240,656,717,340.06
  5. Step 5: Solve for x
    x = 240,656,717,340.06/223,143.25
  6. Step 6: Final answer
    x = 1,078,485.31

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.