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Finding the Third Proportional to 236,699 and 332,932

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Solution

The third proportional to 236,699 and 332,932 is: 468,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,699 : 332,932 = 332,932 : x
  2. Step 2: Convert to fraction form
    236,699/332,932 = 332,932/x
  3. Step 3: Cross multiply
    236,699x = 332,932 × 332,932
  4. Step 4: Simplify right side
    236,699x = 110,843,716,624
  5. Step 5: Solve for x
    x = 110,843,716,624/236,699
  6. Step 6: Final answer
    x = 468,289.75

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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.