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Finding the Third Proportional to 254,134 and 338,799

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Solution

The third proportional to 254,134 and 338,799 is: 451,670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,134 : 338,799 = 338,799 : x
  2. Step 2: Convert to fraction form
    254,134/338,799 = 338,799/x
  3. Step 3: Cross multiply
    254,134x = 338,799 × 338,799
  4. Step 4: Simplify right side
    254,134x = 114,784,762,401
  5. Step 5: Solve for x
    x = 114,784,762,401/254,134
  6. Step 6: Final answer
    x = 451,670.23

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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.