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Finding the Third Proportional to 267,877.13 and 364,798.69

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Solution

The third proportional to 267,877.13 and 364,798.69 is: 496,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,877.13 : 364,798.69 = 364,798.69 : x
  2. Step 2: Convert to fraction form
    267,877.13/364,798.69 = 364,798.69/x
  3. Step 3: Cross multiply
    267,877.13x = 364,798.69 × 364,798.69
  4. Step 4: Simplify right side
    267,877.13x = 133,078,082,401.72
  5. Step 5: Solve for x
    x = 133,078,082,401.72/267,877.13
  6. Step 6: Final answer
    x = 496,787.78

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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.