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Finding the Third Proportional to 180,516 and 273,126

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Solution

The third proportional to 180,516 and 273,126 is: 413,247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,516 : 273,126 = 273,126 : x
  2. Step 2: Convert to fraction form
    180,516/273,126 = 273,126/x
  3. Step 3: Cross multiply
    180,516x = 273,126 × 273,126
  4. Step 4: Simplify right side
    180,516x = 74,597,811,876
  5. Step 5: Solve for x
    x = 74,597,811,876/180,516
  6. Step 6: Final answer
    x = 413,247.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.