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Finding the Third Proportional to 116,256 and 255,380

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Solution

The third proportional to 116,256 and 255,380 is: 560,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,256 : 255,380 = 255,380 : x
  2. Step 2: Convert to fraction form
    116,256/255,380 = 255,380/x
  3. Step 3: Cross multiply
    116,256x = 255,380 × 255,380
  4. Step 4: Simplify right side
    116,256x = 65,218,944,400
  5. Step 5: Solve for x
    x = 65,218,944,400/116,256
  6. Step 6: Final answer
    x = 560,994.22

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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.