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Finding the Third Proportional to 104,314 and 225,255

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Solution

The third proportional to 104,314 and 225,255 is: 486,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,314 : 225,255 = 225,255 : x
  2. Step 2: Convert to fraction form
    104,314/225,255 = 225,255/x
  3. Step 3: Cross multiply
    104,314x = 225,255 × 225,255
  4. Step 4: Simplify right side
    104,314x = 50,739,815,025
  5. Step 5: Solve for x
    x = 50,739,815,025/104,314
  6. Step 6: Final answer
    x = 486,414.24

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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.