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Finding the Third Proportional to 201,747 and 282,745

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Solution

The third proportional to 201,747 and 282,745 is: 396,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,747 : 282,745 = 282,745 : x
  2. Step 2: Convert to fraction form
    201,747/282,745 = 282,745/x
  3. Step 3: Cross multiply
    201,747x = 282,745 × 282,745
  4. Step 4: Simplify right side
    201,747x = 79,944,735,025
  5. Step 5: Solve for x
    x = 79,944,735,025/201,747
  6. Step 6: Final answer
    x = 396,262.32

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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.