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Finding the Third Proportional to 193,181.06 and 283,982.91

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Solution

The third proportional to 193,181.06 and 283,982.91 is: 417,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,181.06 : 283,982.91 = 283,982.91 : x
  2. Step 2: Convert to fraction form
    193,181.06/283,982.91 = 283,982.91/x
  3. Step 3: Cross multiply
    193,181.06x = 283,982.91 × 283,982.91
  4. Step 4: Simplify right side
    193,181.06x = 80,646,291,042.20
  5. Step 5: Solve for x
    x = 80,646,291,042.20/193,181.06
  6. Step 6: Final answer
    x = 417,464.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.