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Finding the Third Proportional to 111,738 and 255,282

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Solution

The third proportional to 111,738 and 255,282 is: 583,229.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,738 : 255,282 = 255,282 : x
  2. Step 2: Convert to fraction form
    111,738/255,282 = 255,282/x
  3. Step 3: Cross multiply
    111,738x = 255,282 × 255,282
  4. Step 4: Simplify right side
    111,738x = 65,168,899,524
  5. Step 5: Solve for x
    x = 65,168,899,524/111,738
  6. Step 6: Final answer
    x = 583,229.51

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.