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Finding the Third Proportional to 123,165 and 266,571

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Solution

The third proportional to 123,165 and 266,571 is: 576,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,165 : 266,571 = 266,571 : x
  2. Step 2: Convert to fraction form
    123,165/266,571 = 266,571/x
  3. Step 3: Cross multiply
    123,165x = 266,571 × 266,571
  4. Step 4: Simplify right side
    123,165x = 71,060,098,041
  5. Step 5: Solve for x
    x = 71,060,098,041/123,165
  6. Step 6: Final answer
    x = 576,950.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.