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Finding the Third Proportional to 137,280.94 and 281,251.41

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Solution

The third proportional to 137,280.94 and 281,251.41 is: 576,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,280.94 : 281,251.41 = 281,251.41 : x
  2. Step 2: Convert to fraction form
    137,280.94/281,251.41 = 281,251.41/x
  3. Step 3: Cross multiply
    137,280.94x = 281,251.41 × 281,251.41
  4. Step 4: Simplify right side
    137,280.94x = 79,102,353,517.60
  5. Step 5: Solve for x
    x = 79,102,353,517.60/137,280.94
  6. Step 6: Final answer
    x = 576,207.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.