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Finding the Third Proportional to 253,696 and 333,672

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Solution

The third proportional to 253,696 and 333,672 is: 438,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,696 : 333,672 = 333,672 : x
  2. Step 2: Convert to fraction form
    253,696/333,672 = 333,672/x
  3. Step 3: Cross multiply
    253,696x = 333,672 × 333,672
  4. Step 4: Simplify right side
    253,696x = 111,337,003,584
  5. Step 5: Solve for x
    x = 111,337,003,584/253,696
  6. Step 6: Final answer
    x = 438,859.91

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.