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Finding the Third Proportional to 104,317 and 225,263

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Solution

The third proportional to 104,317 and 225,263 is: 486,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,317 : 225,263 = 225,263 : x
  2. Step 2: Convert to fraction form
    104,317/225,263 = 225,263/x
  3. Step 3: Cross multiply
    104,317x = 225,263 × 225,263
  4. Step 4: Simplify right side
    104,317x = 50,743,419,169
  5. Step 5: Solve for x
    x = 50,743,419,169/104,317
  6. Step 6: Final answer
    x = 486,434.80

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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.