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Finding the Third Proportional to 104,011 and 223,582

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Solution

The third proportional to 104,011 and 223,582 is: 480,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,011 : 223,582 = 223,582 : x
  2. Step 2: Convert to fraction form
    104,011/223,582 = 223,582/x
  3. Step 3: Cross multiply
    104,011x = 223,582 × 223,582
  4. Step 4: Simplify right side
    104,011x = 49,988,910,724
  5. Step 5: Solve for x
    x = 49,988,910,724/104,011
  6. Step 6: Final answer
    x = 480,611.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.