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Finding the Third Proportional to 102,500 and 225,178

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Solution

The third proportional to 102,500 and 225,178 is: 494,684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,500 : 225,178 = 225,178 : x
  2. Step 2: Convert to fraction form
    102,500/225,178 = 225,178/x
  3. Step 3: Cross multiply
    102,500x = 225,178 × 225,178
  4. Step 4: Simplify right side
    102,500x = 50,705,131,684
  5. Step 5: Solve for x
    x = 50,705,131,684/102,500
  6. Step 6: Final answer
    x = 494,684.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.