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Finding the Third Proportional to 165,766 and 361,894

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Solution

The third proportional to 165,766 and 361,894 is: 790,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,766 : 361,894 = 361,894 : x
  2. Step 2: Convert to fraction form
    165,766/361,894 = 361,894/x
  3. Step 3: Cross multiply
    165,766x = 361,894 × 361,894
  4. Step 4: Simplify right side
    165,766x = 130,967,267,236
  5. Step 5: Solve for x
    x = 130,967,267,236/165,766
  6. Step 6: Final answer
    x = 790,073.16

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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.