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Finding the Third Proportional to 123,610 and 266,930

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Solution

The third proportional to 123,610 and 266,930 is: 576,422.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,610 : 266,930 = 266,930 : x
  2. Step 2: Convert to fraction form
    123,610/266,930 = 266,930/x
  3. Step 3: Cross multiply
    123,610x = 266,930 × 266,930
  4. Step 4: Simplify right side
    123,610x = 71,251,624,900
  5. Step 5: Solve for x
    x = 71,251,624,900/123,610
  6. Step 6: Final answer
    x = 576,422.82

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