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Finding the Third Proportional to 254,135.50 and 338,801

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Solution

The third proportional to 254,135.50 and 338,801 is: 451,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,135.50 : 338,801 = 338,801 : x
  2. Step 2: Convert to fraction form
    254,135.50/338,801 = 338,801/x
  3. Step 3: Cross multiply
    254,135.50x = 338,801 × 338,801
  4. Step 4: Simplify right side
    254,135.50x = 114,786,117,601
  5. Step 5: Solve for x
    x = 114,786,117,601/254,135.50
  6. Step 6: Final answer
    x = 451,672.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.