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Finding the Third Proportional to 165,124 and 239,622

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Solution

The third proportional to 165,124 and 239,622 is: 347,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,124 : 239,622 = 239,622 : x
  2. Step 2: Convert to fraction form
    165,124/239,622 = 239,622/x
  3. Step 3: Cross multiply
    165,124x = 239,622 × 239,622
  4. Step 4: Simplify right side
    165,124x = 57,418,702,884
  5. Step 5: Solve for x
    x = 57,418,702,884/165,124
  6. Step 6: Final answer
    x = 347,730.81

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.