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Finding the Third Proportional to 132,975 and 288,105

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Solution

The third proportional to 132,975 and 288,105 is: 624,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,975 : 288,105 = 288,105 : x
  2. Step 2: Convert to fraction form
    132,975/288,105 = 288,105/x
  3. Step 3: Cross multiply
    132,975x = 288,105 × 288,105
  4. Step 4: Simplify right side
    132,975x = 83,004,491,025
  5. Step 5: Solve for x
    x = 83,004,491,025/132,975
  6. Step 6: Final answer
    x = 624,211.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.