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Finding the Third Proportional to 111,032.25 and 244,206.75

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Solution

The third proportional to 111,032.25 and 244,206.75 is: 537,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,032.25 : 244,206.75 = 244,206.75 : x
  2. Step 2: Convert to fraction form
    111,032.25/244,206.75 = 244,206.75/x
  3. Step 3: Cross multiply
    111,032.25x = 244,206.75 × 244,206.75
  4. Step 4: Simplify right side
    111,032.25x = 59,636,936,745.56
  5. Step 5: Solve for x
    x = 59,636,936,745.56/111,032.25
  6. Step 6: Final answer
    x = 537,113.65

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Why These Related Problems?

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