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Finding the Third Proportional to 267,856.88 and 363,778.59

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Solution

The third proportional to 267,856.88 and 363,778.59 is: 494,050.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,856.88 : 363,778.59 = 363,778.59 : x
  2. Step 2: Convert to fraction form
    267,856.88/363,778.59 = 363,778.59/x
  3. Step 3: Cross multiply
    267,856.88x = 363,778.59 × 363,778.59
  4. Step 4: Simplify right side
    267,856.88x = 132,334,865,270.73
  5. Step 5: Solve for x
    x = 132,334,865,270.73/267,856.88
  6. Step 6: Final answer
    x = 494,050.66

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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.