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Finding the Third Proportional to 130,960.50 and 281,037

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Solution

The third proportional to 130,960.50 and 281,037 is: 603,096.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,960.50 : 281,037 = 281,037 : x
  2. Step 2: Convert to fraction form
    130,960.50/281,037 = 281,037/x
  3. Step 3: Cross multiply
    130,960.50x = 281,037 × 281,037
  4. Step 4: Simplify right side
    130,960.50x = 78,981,795,369
  5. Step 5: Solve for x
    x = 78,981,795,369/130,960.50
  6. Step 6: Final answer
    x = 603,096.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.