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Finding the Third Proportional to 123,957 and 268,515

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Solution

The third proportional to 123,957 and 268,515 is: 581,655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,957 : 268,515 = 268,515 : x
  2. Step 2: Convert to fraction form
    123,957/268,515 = 268,515/x
  3. Step 3: Cross multiply
    123,957x = 268,515 × 268,515
  4. Step 4: Simplify right side
    123,957x = 72,100,305,225
  5. Step 5: Solve for x
    x = 72,100,305,225/123,957
  6. Step 6: Final answer
    x = 581,655.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.