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Finding the Third Proportional to 111,746 and 244,228

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Solution

The third proportional to 111,746 and 244,228 is: 533,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,746 : 244,228 = 244,228 : x
  2. Step 2: Convert to fraction form
    111,746/244,228 = 244,228/x
  3. Step 3: Cross multiply
    111,746x = 244,228 × 244,228
  4. Step 4: Simplify right side
    111,746x = 59,647,315,984
  5. Step 5: Solve for x
    x = 59,647,315,984/111,746
  6. Step 6: Final answer
    x = 533,775.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.