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Finding the Third Proportional to 116,845 and 255,326

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Solution

The third proportional to 116,845 and 255,326 is: 557,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,845 : 255,326 = 255,326 : x
  2. Step 2: Convert to fraction form
    116,845/255,326 = 255,326/x
  3. Step 3: Cross multiply
    116,845x = 255,326 × 255,326
  4. Step 4: Simplify right side
    116,845x = 65,191,366,276
  5. Step 5: Solve for x
    x = 65,191,366,276/116,845
  6. Step 6: Final answer
    x = 557,930.30

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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.