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Finding the Third Proportional to 172,512 and 371,268

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Solution

The third proportional to 172,512 and 371,268 is: 799,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,512 : 371,268 = 371,268 : x
  2. Step 2: Convert to fraction form
    172,512/371,268 = 371,268/x
  3. Step 3: Cross multiply
    172,512x = 371,268 × 371,268
  4. Step 4: Simplify right side
    172,512x = 137,839,927,824
  5. Step 5: Solve for x
    x = 137,839,927,824/172,512
  6. Step 6: Final answer
    x = 799,016.46

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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.