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Finding the Third Proportional to 201,760.50 and 282,762

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Solution

The third proportional to 201,760.50 and 282,762 is: 396,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760.50 : 282,762 = 282,762 : x
  2. Step 2: Convert to fraction form
    201,760.50/282,762 = 282,762/x
  3. Step 3: Cross multiply
    201,760.50x = 282,762 × 282,762
  4. Step 4: Simplify right side
    201,760.50x = 79,954,348,644
  5. Step 5: Solve for x
    x = 79,954,348,644/201,760.50
  6. Step 6: Final answer
    x = 396,283.46

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