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Finding the Third Proportional to 267,537.75 and 366,861.38

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Solution

The third proportional to 267,537.75 and 366,861.38 is: 503,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,537.75 : 366,861.38 = 366,861.38 : x
  2. Step 2: Convert to fraction form
    267,537.75/366,861.38 = 366,861.38/x
  3. Step 3: Cross multiply
    267,537.75x = 366,861.38 × 366,861.38
  4. Step 4: Simplify right side
    267,537.75x = 134,587,268,466.89
  5. Step 5: Solve for x
    x = 134,587,268,466.89/267,537.75
  6. Step 6: Final answer
    x = 503,058.98

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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.