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Finding the Third Proportional to 201,710 and 267,573

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Solution

The third proportional to 201,710 and 267,573 is: 354,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,710 : 267,573 = 267,573 : x
  2. Step 2: Convert to fraction form
    201,710/267,573 = 267,573/x
  3. Step 3: Cross multiply
    201,710x = 267,573 × 267,573
  4. Step 4: Simplify right side
    201,710x = 71,595,310,329
  5. Step 5: Solve for x
    x = 71,595,310,329/201,710
  6. Step 6: Final answer
    x = 354,941.80

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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.