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Finding the Third Proportional to 268,364.25 and 401,169.38

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Solution

The third proportional to 268,364.25 and 401,169.38 is: 599,695.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,364.25 : 401,169.38 = 401,169.38 : x
  2. Step 2: Convert to fraction form
    268,364.25/401,169.38 = 401,169.38/x
  3. Step 3: Cross multiply
    268,364.25x = 401,169.38 × 401,169.38
  4. Step 4: Simplify right side
    268,364.25x = 160,936,867,437.89
  5. Step 5: Solve for x
    x = 160,936,867,437.89/268,364.25
  6. Step 6: Final answer
    x = 599,695.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.