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Finding the Third Proportional to 116,844 and 255,800

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Solution

The third proportional to 116,844 and 255,800 is: 560,008.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,844 : 255,800 = 255,800 : x
  2. Step 2: Convert to fraction form
    116,844/255,800 = 255,800/x
  3. Step 3: Cross multiply
    116,844x = 255,800 × 255,800
  4. Step 4: Simplify right side
    116,844x = 65,433,640,000
  5. Step 5: Solve for x
    x = 65,433,640,000/116,844
  6. Step 6: Final answer
    x = 560,008.56

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