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Finding the Third Proportional to 123,163 and 266,567

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Solution

The third proportional to 123,163 and 266,567 is: 576,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,163 : 266,567 = 266,567 : x
  2. Step 2: Convert to fraction form
    123,163/266,567 = 266,567/x
  3. Step 3: Cross multiply
    123,163x = 266,567 × 266,567
  4. Step 4: Simplify right side
    123,163x = 71,057,965,489
  5. Step 5: Solve for x
    x = 71,057,965,489/123,163
  6. Step 6: Final answer
    x = 576,942.47

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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.