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Finding the Third Proportional to 166,372 and 232,842

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Solution

The third proportional to 166,372 and 232,842 is: 325,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,372 : 232,842 = 232,842 : x
  2. Step 2: Convert to fraction form
    166,372/232,842 = 232,842/x
  3. Step 3: Cross multiply
    166,372x = 232,842 × 232,842
  4. Step 4: Simplify right side
    166,372x = 54,215,396,964
  5. Step 5: Solve for x
    x = 54,215,396,964/166,372
  6. Step 6: Final answer
    x = 325,868.52

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.