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Finding the Third Proportional to 102,504 and 225,187

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Solution

The third proportional to 102,504 and 225,187 is: 494,704.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,504 : 225,187 = 225,187 : x
  2. Step 2: Convert to fraction form
    102,504/225,187 = 225,187/x
  3. Step 3: Cross multiply
    102,504x = 225,187 × 225,187
  4. Step 4: Simplify right side
    102,504x = 50,709,184,969
  5. Step 5: Solve for x
    x = 50,709,184,969/102,504
  6. Step 6: Final answer
    x = 494,704.45

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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.