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Finding the Third Proportional to 150,726 and 231,273

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Solution

The third proportional to 150,726 and 231,273 is: 354,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,726 : 231,273 = 231,273 : x
  2. Step 2: Convert to fraction form
    150,726/231,273 = 231,273/x
  3. Step 3: Cross multiply
    150,726x = 231,273 × 231,273
  4. Step 4: Simplify right side
    150,726x = 53,487,200,529
  5. Step 5: Solve for x
    x = 53,487,200,529/150,726
  6. Step 6: Final answer
    x = 354,863.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.