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Finding the Third Proportional to 172,079.25 and 241,893.75

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Solution

The third proportional to 172,079.25 and 241,893.75 is: 340,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,079.25 : 241,893.75 = 241,893.75 : x
  2. Step 2: Convert to fraction form
    172,079.25/241,893.75 = 241,893.75/x
  3. Step 3: Cross multiply
    172,079.25x = 241,893.75 × 241,893.75
  4. Step 4: Simplify right side
    172,079.25x = 58,512,586,289.06
  5. Step 5: Solve for x
    x = 58,512,586,289.06/172,079.25
  6. Step 6: Final answer
    x = 340,032.78

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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.