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Finding the Third Proportional to 226,181.38 and 344,578.46

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Solution

The third proportional to 226,181.38 and 344,578.46 is: 524,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,181.38 : 344,578.46 = 344,578.46 : x
  2. Step 2: Convert to fraction form
    226,181.38/344,578.46 = 344,578.46/x
  3. Step 3: Cross multiply
    226,181.38x = 344,578.46 × 344,578.46
  4. Step 4: Simplify right side
    226,181.38x = 118,734,315,742.06
  5. Step 5: Solve for x
    x = 118,734,315,742.06/226,181.38
  6. Step 6: Final answer
    x = 524,951.78

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.