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Finding the Third Proportional to 204,069.38 and 268,545.38

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Solution

The third proportional to 204,069.38 and 268,545.38 is: 353,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,069.38 : 268,545.38 = 268,545.38 : x
  2. Step 2: Convert to fraction form
    204,069.38/268,545.38 = 268,545.38/x
  3. Step 3: Cross multiply
    204,069.38x = 268,545.38 × 268,545.38
  4. Step 4: Simplify right side
    204,069.38x = 72,116,618,433.89
  5. Step 5: Solve for x
    x = 72,116,618,433.89/204,069.38
  6. Step 6: Final answer
    x = 353,392.66

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.