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Finding the Third Proportional to 254,114 and 338,772

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Solution

The third proportional to 254,114 and 338,772 is: 451,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,114 : 338,772 = 338,772 : x
  2. Step 2: Convert to fraction form
    254,114/338,772 = 338,772/x
  3. Step 3: Cross multiply
    254,114x = 338,772 × 338,772
  4. Step 4: Simplify right side
    254,114x = 114,766,467,984
  5. Step 5: Solve for x
    x = 114,766,467,984/254,114
  6. Step 6: Final answer
    x = 451,633.79

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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.