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Finding the Third Proportional to 103,180.50 and 225,801

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Solution

The third proportional to 103,180.50 and 225,801 is: 494,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,180.50 : 225,801 = 225,801 : x
  2. Step 2: Convert to fraction form
    103,180.50/225,801 = 225,801/x
  3. Step 3: Cross multiply
    103,180.50x = 225,801 × 225,801
  4. Step 4: Simplify right side
    103,180.50x = 50,986,091,601
  5. Step 5: Solve for x
    x = 50,986,091,601/103,180.50
  6. Step 6: Final answer
    x = 494,144.65

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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.