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Finding the Third Proportional to 123,074 and 268,928

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Solution

The third proportional to 123,074 and 268,928 is: 587,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,074 : 268,928 = 268,928 : x
  2. Step 2: Convert to fraction form
    123,074/268,928 = 268,928/x
  3. Step 3: Cross multiply
    123,074x = 268,928 × 268,928
  4. Step 4: Simplify right side
    123,074x = 72,322,269,184
  5. Step 5: Solve for x
    x = 72,322,269,184/123,074
  6. Step 6: Final answer
    x = 587,632.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.