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Finding the Third Proportional to 267,363 and 363,201

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Solution

The third proportional to 267,363 and 363,201 is: 493,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,363 : 363,201 = 363,201 : x
  2. Step 2: Convert to fraction form
    267,363/363,201 = 363,201/x
  3. Step 3: Cross multiply
    267,363x = 363,201 × 363,201
  4. Step 4: Simplify right side
    267,363x = 131,914,966,401
  5. Step 5: Solve for x
    x = 131,914,966,401/267,363
  6. Step 6: Final answer
    x = 493,392.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.