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Finding the Third Proportional to 104,522 and 203,788

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Solution

The third proportional to 104,522 and 203,788 is: 397,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,522 : 203,788 = 203,788 : x
  2. Step 2: Convert to fraction form
    104,522/203,788 = 203,788/x
  3. Step 3: Cross multiply
    104,522x = 203,788 × 203,788
  4. Step 4: Simplify right side
    104,522x = 41,529,548,944
  5. Step 5: Solve for x
    x = 41,529,548,944/104,522
  6. Step 6: Final answer
    x = 397,328.30

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.