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Finding the Third Proportional to 165,738 and 262,851

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Solution

The third proportional to 165,738 and 262,851 is: 416,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,738 : 262,851 = 262,851 : x
  2. Step 2: Convert to fraction form
    165,738/262,851 = 262,851/x
  3. Step 3: Cross multiply
    165,738x = 262,851 × 262,851
  4. Step 4: Simplify right side
    165,738x = 69,090,648,201
  5. Step 5: Solve for x
    x = 69,090,648,201/165,738
  6. Step 6: Final answer
    x = 416,866.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.