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Finding the Third Proportional to 123,660 and 266,868

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Solution

The third proportional to 123,660 and 266,868 is: 575,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,660 : 266,868 = 266,868 : x
  2. Step 2: Convert to fraction form
    123,660/266,868 = 266,868/x
  3. Step 3: Cross multiply
    123,660x = 266,868 × 266,868
  4. Step 4: Simplify right side
    123,660x = 71,218,529,424
  5. Step 5: Solve for x
    x = 71,218,529,424/123,660
  6. Step 6: Final answer
    x = 575,922.12

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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.