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Finding the Third Proportional to 201,712 and 267,575

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Solution

The third proportional to 201,712 and 267,575 is: 354,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,712 : 267,575 = 267,575 : x
  2. Step 2: Convert to fraction form
    201,712/267,575 = 267,575/x
  3. Step 3: Cross multiply
    201,712x = 267,575 × 267,575
  4. Step 4: Simplify right side
    201,712x = 71,596,380,625
  5. Step 5: Solve for x
    x = 71,596,380,625/201,712
  6. Step 6: Final answer
    x = 354,943.59

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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.