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Finding the Third Proportional to 182,285.44 and 283,749.75

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Solution

The third proportional to 182,285.44 and 283,749.75 is: 441,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,285.44 : 283,749.75 = 283,749.75 : x
  2. Step 2: Convert to fraction form
    182,285.44/283,749.75 = 283,749.75/x
  3. Step 3: Cross multiply
    182,285.44x = 283,749.75 × 283,749.75
  4. Step 4: Simplify right side
    182,285.44x = 80,513,920,625.06
  5. Step 5: Solve for x
    x = 80,513,920,625.06/182,285.44
  6. Step 6: Final answer
    x = 441,691.46

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.