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Finding the Third Proportional to 201,738 and 296,766

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Solution

The third proportional to 201,738 and 296,766 is: 436,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,738 : 296,766 = 296,766 : x
  2. Step 2: Convert to fraction form
    201,738/296,766 = 296,766/x
  3. Step 3: Cross multiply
    201,738x = 296,766 × 296,766
  4. Step 4: Simplify right side
    201,738x = 88,070,058,756
  5. Step 5: Solve for x
    x = 88,070,058,756/201,738
  6. Step 6: Final answer
    x = 436,556.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.