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Finding the Third Proportional to 117,041 and 254,008

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Solution

The third proportional to 117,041 and 254,008 is: 551,260.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,041 : 254,008 = 254,008 : x
  2. Step 2: Convert to fraction form
    117,041/254,008 = 254,008/x
  3. Step 3: Cross multiply
    117,041x = 254,008 × 254,008
  4. Step 4: Simplify right side
    117,041x = 64,520,064,064
  5. Step 5: Solve for x
    x = 64,520,064,064/117,041
  6. Step 6: Final answer
    x = 551,260.36

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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.