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Finding the Third Proportional to 131,880.38 and 204,078.38

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Solution

The third proportional to 131,880.38 and 204,078.38 is: 315,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,880.38 : 204,078.38 = 204,078.38 : x
  2. Step 2: Convert to fraction form
    131,880.38/204,078.38 = 204,078.38/x
  3. Step 3: Cross multiply
    131,880.38x = 204,078.38 × 204,078.38
  4. Step 4: Simplify right side
    131,880.38x = 41,647,983,142.64
  5. Step 5: Solve for x
    x = 41,647,983,142.64/131,880.38
  6. Step 6: Final answer
    x = 315,801.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.