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Finding the Third Proportional to 181,126.13 and 393,371.44

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Solution

The third proportional to 181,126.13 and 393,371.44 is: 854,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,126.13 : 393,371.44 = 393,371.44 : x
  2. Step 2: Convert to fraction form
    181,126.13/393,371.44 = 393,371.44/x
  3. Step 3: Cross multiply
    181,126.13x = 393,371.44 × 393,371.44
  4. Step 4: Simplify right side
    181,126.13x = 154,741,087,840.82
  5. Step 5: Solve for x
    x = 154,741,087,840.82/181,126.13
  6. Step 6: Final answer
    x = 854,327.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.