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Finding the Third Proportional to 267,594 and 366,945

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Solution

The third proportional to 267,594 and 366,945 is: 503,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,594 : 366,945 = 366,945 : x
  2. Step 2: Convert to fraction form
    267,594/366,945 = 366,945/x
  3. Step 3: Cross multiply
    267,594x = 366,945 × 366,945
  4. Step 4: Simplify right side
    267,594x = 134,648,633,025
  5. Step 5: Solve for x
    x = 134,648,633,025/267,594
  6. Step 6: Final answer
    x = 503,182.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.