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Finding the Third Proportional to 154,269 and 338,049

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Solution

The third proportional to 154,269 and 338,049 is: 740,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,269 : 338,049 = 338,049 : x
  2. Step 2: Convert to fraction form
    154,269/338,049 = 338,049/x
  3. Step 3: Cross multiply
    154,269x = 338,049 × 338,049
  4. Step 4: Simplify right side
    154,269x = 114,277,126,401
  5. Step 5: Solve for x
    x = 114,277,126,401/154,269
  6. Step 6: Final answer
    x = 740,765.33

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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.