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Finding the Third Proportional to 175,067 and 277,910

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Solution

The third proportional to 175,067 and 277,910 is: 441,168.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,067 : 277,910 = 277,910 : x
  2. Step 2: Convert to fraction form
    175,067/277,910 = 277,910/x
  3. Step 3: Cross multiply
    175,067x = 277,910 × 277,910
  4. Step 4: Simplify right side
    175,067x = 77,233,968,100
  5. Step 5: Solve for x
    x = 77,233,968,100/175,067
  6. Step 6: Final answer
    x = 441,168.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.