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Finding the Third Proportional to 201,397 and 282,321

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Solution

The third proportional to 201,397 and 282,321 is: 395,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,397 : 282,321 = 282,321 : x
  2. Step 2: Convert to fraction form
    201,397/282,321 = 282,321/x
  3. Step 3: Cross multiply
    201,397x = 282,321 × 282,321
  4. Step 4: Simplify right side
    201,397x = 79,705,147,041
  5. Step 5: Solve for x
    x = 79,705,147,041/201,397
  6. Step 6: Final answer
    x = 395,761.34

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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.