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Finding the Third Proportional to 165,598 and 262,401

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Solution

The third proportional to 165,598 and 262,401 is: 415,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,598 : 262,401 = 262,401 : x
  2. Step 2: Convert to fraction form
    165,598/262,401 = 262,401/x
  3. Step 3: Cross multiply
    165,598x = 262,401 × 262,401
  4. Step 4: Simplify right side
    165,598x = 68,854,284,801
  5. Step 5: Solve for x
    x = 68,854,284,801/165,598
  6. Step 6: Final answer
    x = 415,791.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.