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Finding the Third Proportional to 104,321 and 225,269

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Solution

The third proportional to 104,321 and 225,269 is: 486,442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,321 : 225,269 = 225,269 : x
  2. Step 2: Convert to fraction form
    104,321/225,269 = 225,269/x
  3. Step 3: Cross multiply
    104,321x = 225,269 × 225,269
  4. Step 4: Simplify right side
    104,321x = 50,746,122,361
  5. Step 5: Solve for x
    x = 50,746,122,361/104,321
  6. Step 6: Final answer
    x = 486,442.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.