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Finding the Third Proportional to 123,493 and 266,186

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Solution

The third proportional to 123,493 and 266,186 is: 573,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,493 : 266,186 = 266,186 : x
  2. Step 2: Convert to fraction form
    123,493/266,186 = 266,186/x
  3. Step 3: Cross multiply
    123,493x = 266,186 × 266,186
  4. Step 4: Simplify right side
    123,493x = 70,854,986,596
  5. Step 5: Solve for x
    x = 70,854,986,596/123,493
  6. Step 6: Final answer
    x = 573,757.11

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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.