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Finding the Third Proportional to 115,057.50 and 268,947.75

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Solution

The third proportional to 115,057.50 and 268,947.75 is: 628,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,057.50 : 268,947.75 = 268,947.75 : x
  2. Step 2: Convert to fraction form
    115,057.50/268,947.75 = 268,947.75/x
  3. Step 3: Cross multiply
    115,057.50x = 268,947.75 × 268,947.75
  4. Step 4: Simplify right side
    115,057.50x = 72,332,892,230.06
  5. Step 5: Solve for x
    x = 72,332,892,230.06/115,057.50
  6. Step 6: Final answer
    x = 628,667.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.