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Finding the Third Proportional to 165,820.50 and 389,799

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Solution

The third proportional to 165,820.50 and 389,799 is: 916,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,820.50 : 389,799 = 389,799 : x
  2. Step 2: Convert to fraction form
    165,820.50/389,799 = 389,799/x
  3. Step 3: Cross multiply
    165,820.50x = 389,799 × 389,799
  4. Step 4: Simplify right side
    165,820.50x = 151,943,260,401
  5. Step 5: Solve for x
    x = 151,943,260,401/165,820.50
  6. Step 6: Final answer
    x = 916,311.68

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.