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Finding the Third Proportional to 186,268.50 and 279,947.25

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Solution

The third proportional to 186,268.50 and 279,947.25 is: 420,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,268.50 : 279,947.25 = 279,947.25 : x
  2. Step 2: Convert to fraction form
    186,268.50/279,947.25 = 279,947.25/x
  3. Step 3: Cross multiply
    186,268.50x = 279,947.25 × 279,947.25
  4. Step 4: Simplify right side
    186,268.50x = 78,370,462,782.56
  5. Step 5: Solve for x
    x = 78,370,462,782.56/186,268.50
  6. Step 6: Final answer
    x = 420,739.22

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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.