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Finding the Third Proportional to 111,282.75 and 247,441.50

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Solution

The third proportional to 111,282.75 and 247,441.50 is: 550,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,282.75 : 247,441.50 = 247,441.50 : x
  2. Step 2: Convert to fraction form
    111,282.75/247,441.50 = 247,441.50/x
  3. Step 3: Cross multiply
    111,282.75x = 247,441.50 × 247,441.50
  4. Step 4: Simplify right side
    111,282.75x = 61,227,295,922.25
  5. Step 5: Solve for x
    x = 61,227,295,922.25/111,282.75
  6. Step 6: Final answer
    x = 550,195.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.