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Finding the Third Proportional to 267,434.16 and 364,245.61

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Solution

The third proportional to 267,434.16 and 364,245.61 is: 496,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,434.16 : 364,245.61 = 364,245.61 : x
  2. Step 2: Convert to fraction form
    267,434.16/364,245.61 = 364,245.61/x
  3. Step 3: Cross multiply
    267,434.16x = 364,245.61 × 364,245.61
  4. Step 4: Simplify right side
    267,434.16x = 132,674,863,948.97
  5. Step 5: Solve for x
    x = 132,674,863,948.97/267,434.16
  6. Step 6: Final answer
    x = 496,102.91

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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.