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Finding the Third Proportional to 201,744 and 282,738

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Solution

The third proportional to 201,744 and 282,738 is: 396,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,744 : 282,738 = 282,738 : x
  2. Step 2: Convert to fraction form
    201,744/282,738 = 282,738/x
  3. Step 3: Cross multiply
    201,744x = 282,738 × 282,738
  4. Step 4: Simplify right side
    201,744x = 79,940,776,644
  5. Step 5: Solve for x
    x = 79,940,776,644/201,744
  6. Step 6: Final answer
    x = 396,248.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.