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Finding the Third Proportional to 201,611 and 282,576

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Solution

The third proportional to 201,611 and 282,576 is: 396,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611 : 282,576 = 282,576 : x
  2. Step 2: Convert to fraction form
    201,611/282,576 = 282,576/x
  3. Step 3: Cross multiply
    201,611x = 282,576 × 282,576
  4. Step 4: Simplify right side
    201,611x = 79,849,195,776
  5. Step 5: Solve for x
    x = 79,849,195,776/201,611
  6. Step 6: Final answer
    x = 396,055.75

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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.