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Finding the Third Proportional to 116,783 and 255,377

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Solution

The third proportional to 116,783 and 255,377 is: 558,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,783 : 255,377 = 255,377 : x
  2. Step 2: Convert to fraction form
    116,783/255,377 = 255,377/x
  3. Step 3: Cross multiply
    116,783x = 255,377 × 255,377
  4. Step 4: Simplify right side
    116,783x = 65,217,412,129
  5. Step 5: Solve for x
    x = 65,217,412,129/116,783
  6. Step 6: Final answer
    x = 558,449.54

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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.