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Finding the Third Proportional to 123,628 and 266,966

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Solution

The third proportional to 123,628 and 266,966 is: 576,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,628 : 266,966 = 266,966 : x
  2. Step 2: Convert to fraction form
    123,628/266,966 = 266,966/x
  3. Step 3: Cross multiply
    123,628x = 266,966 × 266,966
  4. Step 4: Simplify right side
    123,628x = 71,270,845,156
  5. Step 5: Solve for x
    x = 71,270,845,156/123,628
  6. Step 6: Final answer
    x = 576,494.36

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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.