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Finding the Third Proportional to 123,608 and 266,926

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Solution

The third proportional to 123,608 and 266,926 is: 576,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,608 : 266,926 = 266,926 : x
  2. Step 2: Convert to fraction form
    123,608/266,926 = 266,926/x
  3. Step 3: Cross multiply
    123,608x = 266,926 × 266,926
  4. Step 4: Simplify right side
    123,608x = 71,249,489,476
  5. Step 5: Solve for x
    x = 71,249,489,476/123,608
  6. Step 6: Final answer
    x = 576,414.87

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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.