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Finding the Third Proportional to 236,727 and 332,964

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Solution

The third proportional to 236,727 and 332,964 is: 468,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,727 : 332,964 = 332,964 : x
  2. Step 2: Convert to fraction form
    236,727/332,964 = 332,964/x
  3. Step 3: Cross multiply
    236,727x = 332,964 × 332,964
  4. Step 4: Simplify right side
    236,727x = 110,865,025,296
  5. Step 5: Solve for x
    x = 110,865,025,296/236,727
  6. Step 6: Final answer
    x = 468,324.38

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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.