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Finding the Third Proportional to 103,280 and 225,512

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Solution

The third proportional to 103,280 and 225,512 is: 492,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,280 : 225,512 = 225,512 : x
  2. Step 2: Convert to fraction form
    103,280/225,512 = 225,512/x
  3. Step 3: Cross multiply
    103,280x = 225,512 × 225,512
  4. Step 4: Simplify right side
    103,280x = 50,855,662,144
  5. Step 5: Solve for x
    x = 50,855,662,144/103,280
  6. Step 6: Final answer
    x = 492,405.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.