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Finding the Third Proportional to 165,578 and 262,299

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Solution

The third proportional to 165,578 and 262,299 is: 415,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,578 : 262,299 = 262,299 : x
  2. Step 2: Convert to fraction form
    165,578/262,299 = 262,299/x
  3. Step 3: Cross multiply
    165,578x = 262,299 × 262,299
  4. Step 4: Simplify right side
    165,578x = 68,800,765,401
  5. Step 5: Solve for x
    x = 68,800,765,401/165,578
  6. Step 6: Final answer
    x = 415,518.76

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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.