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Finding the Third Proportional to 117,669 and 254,994

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Solution

The third proportional to 117,669 and 254,994 is: 552,583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,669 : 254,994 = 254,994 : x
  2. Step 2: Convert to fraction form
    117,669/254,994 = 254,994/x
  3. Step 3: Cross multiply
    117,669x = 254,994 × 254,994
  4. Step 4: Simplify right side
    117,669x = 65,021,940,036
  5. Step 5: Solve for x
    x = 65,021,940,036/117,669
  6. Step 6: Final answer
    x = 552,583.43

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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.