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Finding the Third Proportional to 180,924.06 and 385,894.44

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Solution

The third proportional to 180,924.06 and 385,894.44 is: 823,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,924.06 : 385,894.44 = 385,894.44 : x
  2. Step 2: Convert to fraction form
    180,924.06/385,894.44 = 385,894.44/x
  3. Step 3: Cross multiply
    180,924.06x = 385,894.44 × 385,894.44
  4. Step 4: Simplify right side
    180,924.06x = 148,914,519,908.24
  5. Step 5: Solve for x
    x = 148,914,519,908.24/180,924.06
  6. Step 6: Final answer
    x = 823,077.48

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.