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Finding the Third Proportional to 119,176.31 and 248,057.44

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Solution

The third proportional to 119,176.31 and 248,057.44 is: 516,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,176.31 : 248,057.44 = 248,057.44 : x
  2. Step 2: Convert to fraction form
    119,176.31/248,057.44 = 248,057.44/x
  3. Step 3: Cross multiply
    119,176.31x = 248,057.44 × 248,057.44
  4. Step 4: Simplify right side
    119,176.31x = 61,532,492,299.07
  5. Step 5: Solve for x
    x = 61,532,492,299.07/119,176.31
  6. Step 6: Final answer
    x = 516,314.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.