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Finding the Third Proportional to 169,928 and 254,956

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Solution

The third proportional to 169,928 and 254,956 is: 382,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,928 : 254,956 = 254,956 : x
  2. Step 2: Convert to fraction form
    169,928/254,956 = 254,956/x
  3. Step 3: Cross multiply
    169,928x = 254,956 × 254,956
  4. Step 4: Simplify right side
    169,928x = 65,002,561,936
  5. Step 5: Solve for x
    x = 65,002,561,936/169,928
  6. Step 6: Final answer
    x = 382,530.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.