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Finding the Third Proportional to 102,795 and 225,273

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Solution

The third proportional to 102,795 and 225,273 is: 493,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,795 : 225,273 = 225,273 : x
  2. Step 2: Convert to fraction form
    102,795/225,273 = 225,273/x
  3. Step 3: Cross multiply
    102,795x = 225,273 × 225,273
  4. Step 4: Simplify right side
    102,795x = 50,747,924,529
  5. Step 5: Solve for x
    x = 50,747,924,529/102,795
  6. Step 6: Final answer
    x = 493,680.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.