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Finding the Third Proportional to 204,233.91 and 269,673.05

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Solution

The third proportional to 204,233.91 and 269,673.05 is: 356,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,233.91 : 269,673.05 = 269,673.05 : x
  2. Step 2: Convert to fraction form
    204,233.91/269,673.05 = 269,673.05/x
  3. Step 3: Cross multiply
    204,233.91x = 269,673.05 × 269,673.05
  4. Step 4: Simplify right side
    204,233.91x = 72,723,552,210.85
  5. Step 5: Solve for x
    x = 72,723,552,210.85/204,233.91
  6. Step 6: Final answer
    x = 356,079.72

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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.