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Finding the Third Proportional to 167,924 and 354,799

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Solution

The third proportional to 167,924 and 354,799 is: 749,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,924 : 354,799 = 354,799 : x
  2. Step 2: Convert to fraction form
    167,924/354,799 = 354,799/x
  3. Step 3: Cross multiply
    167,924x = 354,799 × 354,799
  4. Step 4: Simplify right side
    167,924x = 125,882,330,401
  5. Step 5: Solve for x
    x = 125,882,330,401/167,924
  6. Step 6: Final answer
    x = 749,638.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.