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Finding the Third Proportional to 171,312 and 368,874

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Solution

The third proportional to 171,312 and 368,874 is: 794,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,312 : 368,874 = 368,874 : x
  2. Step 2: Convert to fraction form
    171,312/368,874 = 368,874/x
  3. Step 3: Cross multiply
    171,312x = 368,874 × 368,874
  4. Step 4: Simplify right side
    171,312x = 136,068,027,876
  5. Step 5: Solve for x
    x = 136,068,027,876/171,312
  6. Step 6: Final answer
    x = 794,270.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.