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Finding the Third Proportional to 104,318 and 225,264

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Solution

The third proportional to 104,318 and 225,264 is: 486,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,318 : 225,264 = 225,264 : x
  2. Step 2: Convert to fraction form
    104,318/225,264 = 225,264/x
  3. Step 3: Cross multiply
    104,318x = 225,264 × 225,264
  4. Step 4: Simplify right side
    104,318x = 50,743,869,696
  5. Step 5: Solve for x
    x = 50,743,869,696/104,318
  6. Step 6: Final answer
    x = 486,434.46

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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.