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Finding the Third Proportional to 172,982 and 371,832

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Solution

The third proportional to 172,982 and 371,832 is: 799,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,982 : 371,832 = 371,832 : x
  2. Step 2: Convert to fraction form
    172,982/371,832 = 371,832/x
  3. Step 3: Cross multiply
    172,982x = 371,832 × 371,832
  4. Step 4: Simplify right side
    172,982x = 138,259,036,224
  5. Step 5: Solve for x
    x = 138,259,036,224/172,982
  6. Step 6: Final answer
    x = 799,268.34

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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.