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Finding the Third Proportional to 123,941.39 and 268,488.42

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Solution

The third proportional to 123,941.39 and 268,488.42 is: 581,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,941.39 : 268,488.42 = 268,488.42 : x
  2. Step 2: Convert to fraction form
    123,941.39/268,488.42 = 268,488.42/x
  3. Step 3: Cross multiply
    123,941.39x = 268,488.42 × 268,488.42
  4. Step 4: Simplify right side
    123,941.39x = 72,086,032,680.93
  5. Step 5: Solve for x
    x = 72,086,032,680.93/123,941.39
  6. Step 6: Final answer
    x = 581,613.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.