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Finding the Third Proportional to 98,401 and 203,804

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Solution

The third proportional to 98,401 and 203,804 is: 422,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,401 : 203,804 = 203,804 : x
  2. Step 2: Convert to fraction form
    98,401/203,804 = 203,804/x
  3. Step 3: Cross multiply
    98,401x = 203,804 × 203,804
  4. Step 4: Simplify right side
    98,401x = 41,536,070,416
  5. Step 5: Solve for x
    x = 41,536,070,416/98,401
  6. Step 6: Final answer
    x = 422,110.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.