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Finding the Third Proportional to 175,910.06 and 343,070.44

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Solution

The third proportional to 175,910.06 and 343,070.44 is: 669,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,910.06 : 343,070.44 = 343,070.44 : x
  2. Step 2: Convert to fraction form
    175,910.06/343,070.44 = 343,070.44/x
  3. Step 3: Cross multiply
    175,910.06x = 343,070.44 × 343,070.44
  4. Step 4: Simplify right side
    175,910.06x = 117,697,325,086.44
  5. Step 5: Solve for x
    x = 117,697,325,086.44/175,910.06
  6. Step 6: Final answer
    x = 669,076.71

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.