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Finding the Third Proportional to 111,726 and 255,255

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Solution

The third proportional to 111,726 and 255,255 is: 583,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,726 : 255,255 = 255,255 : x
  2. Step 2: Convert to fraction form
    111,726/255,255 = 255,255/x
  3. Step 3: Cross multiply
    111,726x = 255,255 × 255,255
  4. Step 4: Simplify right side
    111,726x = 65,155,115,025
  5. Step 5: Solve for x
    x = 65,155,115,025/111,726
  6. Step 6: Final answer
    x = 583,168.78

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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.