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Finding the Third Proportional to 161,142.75 and 246,867.75

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Solution

The third proportional to 161,142.75 and 246,867.75 is: 378,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,142.75 : 246,867.75 = 246,867.75 : x
  2. Step 2: Convert to fraction form
    161,142.75/246,867.75 = 246,867.75/x
  3. Step 3: Cross multiply
    161,142.75x = 246,867.75 × 246,867.75
  4. Step 4: Simplify right side
    161,142.75x = 60,943,685,990.06
  5. Step 5: Solve for x
    x = 60,943,685,990.06/161,142.75
  6. Step 6: Final answer
    x = 378,196.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.