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Finding the Third Proportional to 173,529 and 262,479

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Solution

The third proportional to 173,529 and 262,479 is: 397,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,529 : 262,479 = 262,479 : x
  2. Step 2: Convert to fraction form
    173,529/262,479 = 262,479/x
  3. Step 3: Cross multiply
    173,529x = 262,479 × 262,479
  4. Step 4: Simplify right side
    173,529x = 68,895,225,441
  5. Step 5: Solve for x
    x = 68,895,225,441/173,529
  6. Step 6: Final answer
    x = 397,024.28

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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.