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Finding the Third Proportional to 236,449 and 332,559

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Solution

The third proportional to 236,449 and 332,559 is: 467,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,449 : 332,559 = 332,559 : x
  2. Step 2: Convert to fraction form
    236,449/332,559 = 332,559/x
  3. Step 3: Cross multiply
    236,449x = 332,559 × 332,559
  4. Step 4: Simplify right side
    236,449x = 110,595,488,481
  5. Step 5: Solve for x
    x = 110,595,488,481/236,449
  6. Step 6: Final answer
    x = 467,735.07

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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.