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Finding the Third Proportional to 226,629.19 and 339,943.69

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Solution

The third proportional to 226,629.19 and 339,943.69 is: 509,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,629.19 : 339,943.69 = 339,943.69 : x
  2. Step 2: Convert to fraction form
    226,629.19/339,943.69 = 339,943.69/x
  3. Step 3: Cross multiply
    226,629.19x = 339,943.69 × 339,943.69
  4. Step 4: Simplify right side
    226,629.19x = 115,561,710,671.10
  5. Step 5: Solve for x
    x = 115,561,710,671.10/226,629.19
  6. Step 6: Final answer
    x = 509,915.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.