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Finding the Third Proportional to 175,344 and 248,108

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Solution

The third proportional to 175,344 and 248,108 is: 351,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,344 : 248,108 = 248,108 : x
  2. Step 2: Convert to fraction form
    175,344/248,108 = 248,108/x
  3. Step 3: Cross multiply
    175,344x = 248,108 × 248,108
  4. Step 4: Simplify right side
    175,344x = 61,557,579,664
  5. Step 5: Solve for x
    x = 61,557,579,664/175,344
  6. Step 6: Final answer
    x = 351,067.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.