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Finding the Third Proportional to 132,981.75 and 268,960.50

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Solution

The third proportional to 132,981.75 and 268,960.50 is: 543,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,981.75 : 268,960.50 = 268,960.50 : x
  2. Step 2: Convert to fraction form
    132,981.75/268,960.50 = 268,960.50/x
  3. Step 3: Cross multiply
    132,981.75x = 268,960.50 × 268,960.50
  4. Step 4: Simplify right side
    132,981.75x = 72,339,750,560.25
  5. Step 5: Solve for x
    x = 72,339,750,560.25/132,981.75
  6. Step 6: Final answer
    x = 543,982.54

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.