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Finding the Third Proportional to 254,166 and 338,847

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Solution

The third proportional to 254,166 and 338,847 is: 451,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,166 : 338,847 = 338,847 : x
  2. Step 2: Convert to fraction form
    254,166/338,847 = 338,847/x
  3. Step 3: Cross multiply
    254,166x = 338,847 × 338,847
  4. Step 4: Simplify right side
    254,166x = 114,817,289,409
  5. Step 5: Solve for x
    x = 114,817,289,409/254,166
  6. Step 6: Final answer
    x = 451,741.34

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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.