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Finding the Third Proportional to 104,932 and 224,823

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Solution

The third proportional to 104,932 and 224,823 is: 481,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,932 : 224,823 = 224,823 : x
  2. Step 2: Convert to fraction form
    104,932/224,823 = 224,823/x
  3. Step 3: Cross multiply
    104,932x = 224,823 × 224,823
  4. Step 4: Simplify right side
    104,932x = 50,545,381,329
  5. Step 5: Solve for x
    x = 50,545,381,329/104,932
  6. Step 6: Final answer
    x = 481,696.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.