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Finding the Third Proportional to 201,724 and 267,593

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Solution

The third proportional to 201,724 and 267,593 is: 354,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,724 : 267,593 = 267,593 : x
  2. Step 2: Convert to fraction form
    201,724/267,593 = 267,593/x
  3. Step 3: Cross multiply
    201,724x = 267,593 × 267,593
  4. Step 4: Simplify right side
    201,724x = 71,606,013,649
  5. Step 5: Solve for x
    x = 71,606,013,649/201,724
  6. Step 6: Final answer
    x = 354,970.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.