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Finding the Third Proportional to 201,772 and 282,777

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Solution

The third proportional to 201,772 and 282,777 is: 396,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,772 : 282,777 = 282,777 : x
  2. Step 2: Convert to fraction form
    201,772/282,777 = 282,777/x
  3. Step 3: Cross multiply
    201,772x = 282,777 × 282,777
  4. Step 4: Simplify right side
    201,772x = 79,962,831,729
  5. Step 5: Solve for x
    x = 79,962,831,729/201,772
  6. Step 6: Final answer
    x = 396,302.91

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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.