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Finding the Third Proportional to 123,082 and 268,940

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Solution

The third proportional to 123,082 and 268,940 is: 587,646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,082 : 268,940 = 268,940 : x
  2. Step 2: Convert to fraction form
    123,082/268,940 = 268,940/x
  3. Step 3: Cross multiply
    123,082x = 268,940 × 268,940
  4. Step 4: Simplify right side
    123,082x = 72,328,723,600
  5. Step 5: Solve for x
    x = 72,328,723,600/123,082
  6. Step 6: Final answer
    x = 587,646.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.