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Finding the Third Proportional to 117,795 and 255,660

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Solution

The third proportional to 117,795 and 255,660 is: 554,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,795 : 255,660 = 255,660 : x
  2. Step 2: Convert to fraction form
    117,795/255,660 = 255,660/x
  3. Step 3: Cross multiply
    117,795x = 255,660 × 255,660
  4. Step 4: Simplify right side
    117,795x = 65,362,035,600
  5. Step 5: Solve for x
    x = 65,362,035,600/117,795
  6. Step 6: Final answer
    x = 554,879.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.