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Finding the Third Proportional to 267,655 and 363,330

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Solution

The third proportional to 267,655 and 363,330 is: 493,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,655 : 363,330 = 363,330 : x
  2. Step 2: Convert to fraction form
    267,655/363,330 = 363,330/x
  3. Step 3: Cross multiply
    267,655x = 363,330 × 363,330
  4. Step 4: Simplify right side
    267,655x = 132,008,688,900
  5. Step 5: Solve for x
    x = 132,008,688,900/267,655
  6. Step 6: Final answer
    x = 493,204.64

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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.