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Finding the Third Proportional to 172,696 and 229,542

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Solution

The third proportional to 172,696 and 229,542 is: 305,099.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,696 : 229,542 = 229,542 : x
  2. Step 2: Convert to fraction form
    172,696/229,542 = 229,542/x
  3. Step 3: Cross multiply
    172,696x = 229,542 × 229,542
  4. Step 4: Simplify right side
    172,696x = 52,689,529,764
  5. Step 5: Solve for x
    x = 52,689,529,764/172,696
  6. Step 6: Final answer
    x = 305,099.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.