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Finding the Third Proportional to 165,660 and 234,184

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Solution

The third proportional to 165,660 and 234,184 is: 331,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,660 : 234,184 = 234,184 : x
  2. Step 2: Convert to fraction form
    165,660/234,184 = 234,184/x
  3. Step 3: Cross multiply
    165,660x = 234,184 × 234,184
  4. Step 4: Simplify right side
    165,660x = 54,842,145,856
  5. Step 5: Solve for x
    x = 54,842,145,856/165,660
  6. Step 6: Final answer
    x = 331,052.43

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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.