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Finding the Third Proportional to 193,539 and 267,435

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Solution

The third proportional to 193,539 and 267,435 is: 369,545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,539 : 267,435 = 267,435 : x
  2. Step 2: Convert to fraction form
    193,539/267,435 = 267,435/x
  3. Step 3: Cross multiply
    193,539x = 267,435 × 267,435
  4. Step 4: Simplify right side
    193,539x = 71,521,479,225
  5. Step 5: Solve for x
    x = 71,521,479,225/193,539
  6. Step 6: Final answer
    x = 369,545.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.