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Finding the Third Proportional to 172,408.50 and 267,579

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Solution

The third proportional to 172,408.50 and 267,579 is: 415,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408.50 : 267,579 = 267,579 : x
  2. Step 2: Convert to fraction form
    172,408.50/267,579 = 267,579/x
  3. Step 3: Cross multiply
    172,408.50x = 267,579 × 267,579
  4. Step 4: Simplify right side
    172,408.50x = 71,598,521,241
  5. Step 5: Solve for x
    x = 71,598,521,241/172,408.50
  6. Step 6: Final answer
    x = 415,284.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.