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Finding the Third Proportional to 168,974 and 356,956

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Solution

The third proportional to 168,974 and 356,956 is: 754,066.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,974 : 356,956 = 356,956 : x
  2. Step 2: Convert to fraction form
    168,974/356,956 = 356,956/x
  3. Step 3: Cross multiply
    168,974x = 356,956 × 356,956
  4. Step 4: Simplify right side
    168,974x = 127,417,585,936
  5. Step 5: Solve for x
    x = 127,417,585,936/168,974
  6. Step 6: Final answer
    x = 754,066.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.