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Finding the Third Proportional to 236,800 and 333,108

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Solution

The third proportional to 236,800 and 333,108 is: 468,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,800 : 333,108 = 333,108 : x
  2. Step 2: Convert to fraction form
    236,800/333,108 = 333,108/x
  3. Step 3: Cross multiply
    236,800x = 333,108 × 333,108
  4. Step 4: Simplify right side
    236,800x = 110,960,939,664
  5. Step 5: Solve for x
    x = 110,960,939,664/236,800
  6. Step 6: Final answer
    x = 468,585.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.