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Finding the Third Proportional to 267,639.19 and 363,305.25

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Solution

The third proportional to 267,639.19 and 363,305.25 is: 493,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,639.19 : 363,305.25 = 363,305.25 : x
  2. Step 2: Convert to fraction form
    267,639.19/363,305.25 = 363,305.25/x
  3. Step 3: Cross multiply
    267,639.19x = 363,305.25 × 363,305.25
  4. Step 4: Simplify right side
    267,639.19x = 131,990,704,677.56
  5. Step 5: Solve for x
    x = 131,990,704,677.56/267,639.19
  6. Step 6: Final answer
    x = 493,166.59

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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.