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Finding the Third Proportional to 165,784 and 361,930

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Solution

The third proportional to 165,784 and 361,930 is: 790,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,784 : 361,930 = 361,930 : x
  2. Step 2: Convert to fraction form
    165,784/361,930 = 361,930/x
  3. Step 3: Cross multiply
    165,784x = 361,930 × 361,930
  4. Step 4: Simplify right side
    165,784x = 130,993,324,900
  5. Step 5: Solve for x
    x = 130,993,324,900/165,784
  6. Step 6: Final answer
    x = 790,144.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.