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Finding the Third Proportional to 267,674.63 and 367,066.69

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Solution

The third proportional to 267,674.63 and 367,066.69 is: 503,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,674.63 : 367,066.69 = 367,066.69 : x
  2. Step 2: Convert to fraction form
    267,674.63/367,066.69 = 367,066.69/x
  3. Step 3: Cross multiply
    267,674.63x = 367,066.69 × 367,066.69
  4. Step 4: Simplify right side
    267,674.63x = 134,737,953,072.22
  5. Step 5: Solve for x
    x = 134,737,953,072.22/267,674.63
  6. Step 6: Final answer
    x = 503,364.68

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