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Finding the Third Proportional to 201,767 and 282,771

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Solution

The third proportional to 201,767 and 282,771 is: 396,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,767 : 282,771 = 282,771 : x
  2. Step 2: Convert to fraction form
    201,767/282,771 = 282,771/x
  3. Step 3: Cross multiply
    201,767x = 282,771 × 282,771
  4. Step 4: Simplify right side
    201,767x = 79,959,438,441
  5. Step 5: Solve for x
    x = 79,959,438,441/201,767
  6. Step 6: Final answer
    x = 396,295.92

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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.