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Finding the Third Proportional to 131,286.38 and 286,334.44

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Solution

The third proportional to 131,286.38 and 286,334.44 is: 624,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,286.38 : 286,334.44 = 286,334.44 : x
  2. Step 2: Convert to fraction form
    131,286.38/286,334.44 = 286,334.44/x
  3. Step 3: Cross multiply
    131,286.38x = 286,334.44 × 286,334.44
  4. Step 4: Simplify right side
    131,286.38x = 81,987,410,098.44
  5. Step 5: Solve for x
    x = 81,987,410,098.44/131,286.38
  6. Step 6: Final answer
    x = 624,492.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.