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Finding the Third Proportional to 201,740 and 282,732

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Solution

The third proportional to 201,740 and 282,732 is: 396,239.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,740 : 282,732 = 282,732 : x
  2. Step 2: Convert to fraction form
    201,740/282,732 = 282,732/x
  3. Step 3: Cross multiply
    201,740x = 282,732 × 282,732
  4. Step 4: Simplify right side
    201,740x = 79,937,383,824
  5. Step 5: Solve for x
    x = 79,937,383,824/201,740
  6. Step 6: Final answer
    x = 396,239.63

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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.