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Finding the Third Proportional to 142,080.75 and 303,863.25

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Solution

The third proportional to 142,080.75 and 303,863.25 is: 649,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,080.75 : 303,863.25 = 303,863.25 : x
  2. Step 2: Convert to fraction form
    142,080.75/303,863.25 = 303,863.25/x
  3. Step 3: Cross multiply
    142,080.75x = 303,863.25 × 303,863.25
  4. Step 4: Simplify right side
    142,080.75x = 92,332,874,700.56
  5. Step 5: Solve for x
    x = 92,332,874,700.56/142,080.75
  6. Step 6: Final answer
    x = 649,861.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.