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Finding the Third Proportional to 226,952.44 and 341,408.25

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Solution

The third proportional to 226,952.44 and 341,408.25 is: 513,585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,952.44 : 341,408.25 = 341,408.25 : x
  2. Step 2: Convert to fraction form
    226,952.44/341,408.25 = 341,408.25/x
  3. Step 3: Cross multiply
    226,952.44x = 341,408.25 × 341,408.25
  4. Step 4: Simplify right side
    226,952.44x = 116,559,593,168.06
  5. Step 5: Solve for x
    x = 116,559,593,168.06/226,952.44
  6. Step 6: Final answer
    x = 513,585.99

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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.