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Finding the Third Proportional to 167,908 and 232,723

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Solution

The third proportional to 167,908 and 232,723 is: 322,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,908 : 232,723 = 232,723 : x
  2. Step 2: Convert to fraction form
    167,908/232,723 = 232,723/x
  3. Step 3: Cross multiply
    167,908x = 232,723 × 232,723
  4. Step 4: Simplify right side
    167,908x = 54,159,994,729
  5. Step 5: Solve for x
    x = 54,159,994,729/167,908
  6. Step 6: Final answer
    x = 322,557.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.