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Finding the Third Proportional to 116,831 and 255,283

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Solution

The third proportional to 116,831 and 255,283 is: 557,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,831 : 255,283 = 255,283 : x
  2. Step 2: Convert to fraction form
    116,831/255,283 = 255,283/x
  3. Step 3: Cross multiply
    116,831x = 255,283 × 255,283
  4. Step 4: Simplify right side
    116,831x = 65,169,410,089
  5. Step 5: Solve for x
    x = 65,169,410,089/116,831
  6. Step 6: Final answer
    x = 557,809.23

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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.