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Finding the Third Proportional to 172,079 and 241,893

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Solution

The third proportional to 172,079 and 241,893 is: 340,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,079 : 241,893 = 241,893 : x
  2. Step 2: Convert to fraction form
    172,079/241,893 = 241,893/x
  3. Step 3: Cross multiply
    172,079x = 241,893 × 241,893
  4. Step 4: Simplify right side
    172,079x = 58,512,223,449
  5. Step 5: Solve for x
    x = 58,512,223,449/172,079
  6. Step 6: Final answer
    x = 340,031.17

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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.