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Finding the Third Proportional to 173,936 and 261,292

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Solution

The third proportional to 173,936 and 261,292 is: 392,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,936 : 261,292 = 261,292 : x
  2. Step 2: Convert to fraction form
    173,936/261,292 = 261,292/x
  3. Step 3: Cross multiply
    173,936x = 261,292 × 261,292
  4. Step 4: Simplify right side
    173,936x = 68,273,509,264
  5. Step 5: Solve for x
    x = 68,273,509,264/173,936
  6. Step 6: Final answer
    x = 392,520.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.