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Finding the Third Proportional to 165,708 and 234,252

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Solution

The third proportional to 165,708 and 234,252 is: 331,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,708 : 234,252 = 234,252 : x
  2. Step 2: Convert to fraction form
    165,708/234,252 = 234,252/x
  3. Step 3: Cross multiply
    165,708x = 234,252 × 234,252
  4. Step 4: Simplify right side
    165,708x = 54,873,999,504
  5. Step 5: Solve for x
    x = 54,873,999,504/165,708
  6. Step 6: Final answer
    x = 331,148.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.